623112890625 has 81 divisors (see below), whose sum is σ = 1127743074939. Its totient is φ = 331537500000.

The previous prime is 623112890611. The next prime is 623112890639. The reversal of 623112890625 is 526098211326.

The square root of 623112890625 is 789375.

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

623112890625 is a `hidden beast` number, since 6 + 2 + 3 + 1 + 12 + 8 + 9 + 0 + 625 = 666.

It is an interprime number because it is at equal distance from previous prime (623112890611) and next prime (623112890639).

It can be written as a sum of positive squares in 13 ways, for example, as 142514555121 + 480598335504 = 377511^2 + 693252^2 .

It is not a de Polignac number, because 623112890625 - 2⁵ = 623112890593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1480077915 + ... + 1480078335.

Almost surely, 2^623112890625 is an apocalyptic number.

623112890625 is the 789375-th square number.

623112890625 is the 394688-th centered octagonal number.

It is an amenable number.

623112890625 is a deficient number, since it is larger than the sum of its proper divisors (504630184314).

623112890625 is an frugal number, since it uses more digits than its factorization.

623112890625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 623112890625 in words is "six hundred twenty-three billion, one hundred twelve million, eight hundred ninety thousand, six hundred twenty-five".