14641000000 has 245 divisors, whose sum is σ = 39947437885. Its totient is φ = 5324000000.

The previous prime is 14640999931. The next prime is 14641000019. The reversal of 14641000000 is 14641.

It is a happy number.

The square root of 14641000000 is 121000.

It is a perfect power (a square), and thus also a powerful number.

14641000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 12826921536 + 1814078464 = 113256^2 + 42592^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 1330999995 + ... + 1331000005.

Almost surely, 2^14641000000 is an apocalyptic number.

14641000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14641000000 is the 121000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14641000000

14641000000 is an abundant number, since it is smaller than the sum of its proper divisors (25306437885).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14641000000 is an frugal number, since it uses more digits than its factorization.

14641000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Multiplying 14641000000 by its sum of digits (16), we get a square (234256000000 = 484000²).

14641000000 divided by its sum of digits (16) gives a square (915062500 = 30250²).

Adding to 14641000000 its reverse (14641), we get a palindrome (14641014641).

Multiplying 14641000000 by its reverse (14641), we get a square (214358881000000 = 14641000²).

14641000000 divided by its reverse (14641) gives a 6-th power (1000000 = 10⁶).

The spelling of 14641000000 in words is "fourteen billion, six hundred forty-one million", and thus it is an aban number.