14645240148100 has 81 divisors (see below), whose sum is σ = 32665467034767. Its totient is φ = 5699218063680.

The previous prime is 14645240148079. The next prime is 14645240148163. The reversal of 14645240148100 is 184104254641.

The square root of 14645240148100 is 3826910.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1390281526404 + 13254958621696 = 1179102^2 + 3640736^2 .

It is a super-2 number, since 2×14645240148100² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1415951529 + ... + 1415961871.

Almost surely, 2^{14645240148100} is an apocalyptic number.

14645240148100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

14645240148100 is the 3826910-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14645240148100

14645240148100 is an abundant number, since it is smaller than the sum of its proper divisors (18020226886667).

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

14645240148100 is an frugal number, since it uses more digits than its factorization.

14645240148100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20774 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 14645240148100 in words is "fourteen trillion, six hundred forty-five billion, two hundred forty million, one hundred forty-eight thousand, one hundred".