10624404456 has 192 divisors, whose sum is σ = 31474759680. Its totient is φ = 3224309760.

The previous prime is 10624404449. The next prime is 10624404463. The reversal of 10624404456 is 65440442601.

10624404456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10624404449) and next prime (10624404463).

It is a super-2 number, since 2×10624404456² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10624404456.

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 47 ways as a sum of consecutive naturals, for example, 6372535 + ... + 6374201.

It is an arithmetic number, because the mean of its divisors is an integer number (163931040).

Almost surely, 2^10624404456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10624404456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15737379840).

10624404456 is an abundant number, since it is smaller than the sum of its proper divisors (20850355224).

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

10624404456 is a wasteful number, since it uses less digits than its factorization.

10624404456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1864 (or 1857 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 10624404456 in words is "ten billion, six hundred twenty-four million, four hundred four thousand, four hundred fifty-six".