14890761911025 has 729 divisors, whose sum is σ = 37071658142883. Its totient is φ = 5690113228800.

The previous prime is 14890761910993. The next prime is 14890761911027. The reversal of 14890761911025 is 52011916709841.

The square root of 14890761911025 is 3858855.

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

14890761911025 is a `hidden beast` number, since 1 + 4 + 8 + 9 + 0 + 7 + 619 + 1 + 10 + 2 + 5 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 5559301005489 + 9331460905536 = 2357817^2 + 3054744^2 .

It is not a de Polignac number, because 14890761911025 - 2⁵ = 14890761910993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (14890761911027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 728 ways as a sum of consecutive naturals, for example, 57940707697 + ... + 57940707953.

Almost surely, 2^{14890761911025} is an apocalyptic number.

14890761911025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

14890761911025 is the 3858855-th square number.

14890761911025 is the 1929428-th centered octagonal number.

It is an amenable number.

14890761911025 is an abundant number, since it is smaller than the sum of its proper divisors (22180896231858).

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

14890761911025 is a wasteful number, since it uses less digits than its factorization.

14890761911025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 14890761911025 in words is "fourteen trillion, eight hundred ninety billion, seven hundred sixty-one million, nine hundred eleven thousand, twenty-five".