56146452545100 has 288 divisors, whose sum is σ = 168824154562560. Its totient is φ = 14396458845440.

The previous prime is 56146452545021. The next prime is 56146452545119. The reversal of 56146452545100 is 154525464165.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 56146452545100.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1386757057 + ... + 1386797543.

It is an arithmetic number, because the mean of its divisors is an integer number (586194981120).

Almost surely, 2^{56146452545100} is an apocalyptic number.

56146452545100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56146452545100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84412077281280).

56146452545100 is an abundant number, since it is smaller than the sum of its proper divisors (112677702017460).

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

56146452545100 is a wasteful number, since it uses less digits than its factorization.

56146452545100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42277 (or 42270 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 48.

The spelling of 56146452545100 in words is "fifty-six trillion, one hundred forty-six billion, four hundred fifty-two million, five hundred forty-five thousand, one hundred".