56361046505412 has 288 divisors, whose sum is σ = 154409381038080. Its totient is φ = 15953205312000.

The previous prime is 56361046505411. The next prime is 56361046505429. The reversal of 56361046505412 is 21450564016365.

It is a happy number.

56361046505412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56361046505411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 297430248 + ... + 297619680.

It is an arithmetic number, because the mean of its divisors is an integer number (536143684160).

Almost surely, 2^{56361046505412} 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 56361046505412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77204690519040).

56361046505412 is an abundant number, since it is smaller than the sum of its proper divisors (98048334532668).

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

56361046505412 is a wasteful number, since it uses less digits than its factorization.

56361046505412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189695 (or 189682 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 56361046505412 in words is "fifty-six trillion, three hundred sixty-one billion, forty-six million, five hundred five thousand, four hundred twelve".