14714768640 has 576 divisors, whose sum is σ = 55909711872. Its totient is φ = 3251404800.

The previous prime is 14714768623. The next prime is 14714768647. The reversal of 14714768640 is 4686741741.

It is a super-2 number, since 2×14714768640² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 14714768640.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14714768647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69738135 + ... + 69738345.

It is an arithmetic number, because the mean of its divisors is an integer number (97065472).

Almost surely, 2^14714768640 is an apocalyptic number.

14714768640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14714768640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27954855936).

14714768640 is an abundant number, since it is smaller than the sum of its proper divisors (41194943232).

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

14714768640 is a wasteful number, since it uses less digits than its factorization.

14714768640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 14714768640 in words is "fourteen billion, seven hundred fourteen million, seven hundred sixty-eight thousand, six hundred forty".