556455756312 has 288 divisors, whose sum is σ = 1633322199600. Its totient is φ = 177274718208.

The previous prime is 556455756301. The next prime is 556455756391. The reversal of 556455756312 is 213657554655.

556455756312 is a `hidden beast` number, since 5 + 5 + 6 + 4 + 5 + 575 + 63 + 1 + 2 = 666.

It is a super-3 number, since 3×556455756312³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 719864758 + ... + 719865530.

Almost surely, 2^556455756312 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 556455756312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816661099800).

556455756312 is an abundant number, since it is smaller than the sum of its proper divisors (1076866443288).

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

556455756312 is a wasteful number, since it uses less digits than its factorization.

556455756312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049 (or 920 counting only the distinct ones).

The product of its digits is 18900000, while the sum is 54.

The spelling of 556455756312 in words is "five hundred fifty-six billion, four hundred fifty-five million, seven hundred fifty-six thousand, three hundred twelve".