455032506625956 has 432 divisors, whose sum is σ = 1399360644864000. Its totient is φ = 124160360163840.

The previous prime is 455032506625903. The next prime is 455032506625997. The reversal of 455032506625956 is 659526605230554.

455032506625956 is a `hidden beast` number, since 4 + 5 + 5 + 0 + 32 + 5 + 0 + 6 + 6 + 2 + 595 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 455032506625893 and 455032506625902.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8938129030 + ... + 8938179938.

It is an arithmetic number, because the mean of its divisors is an integer number (3239260752000).

Almost surely, 2^{455032506625956} 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 455032506625956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (699680322432000).

455032506625956 is an abundant number, since it is smaller than the sum of its proper divisors (944328138238044).

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

455032506625956 is a wasteful number, since it uses less digits than its factorization.

455032506625956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53112 (or 53100 counting only the distinct ones).

The product of its (nonzero) digits is 291600000, while the sum is 63.

The spelling of 455032506625956 in words is "four hundred fifty-five trillion, thirty-two billion, five hundred six million, six hundred twenty-five thousand, nine hundred fifty-six".