56374141824 has 1536 divisors, whose sum is σ = 239520153600. Its totient is φ = 12242534400.

The previous prime is 56374141777. The next prime is 56374141867. The reversal of 56374141824 is 42814147365.

56374141824 is a `hidden beast` number, since 5 + 637 + 4 + 1 + 4 + 1 + 8 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56374141824.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 679206487 + ... + 679206569.

It is an arithmetic number, because the mean of its divisors is an integer number (155937600).

Almost surely, 2^56374141824 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 56374141824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119760076800).

56374141824 is an abundant number, since it is smaller than the sum of its proper divisors (183146011776).

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

56374141824 is a wasteful number, since it uses less digits than its factorization.

56374141824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 169 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 56374141824 in words is "fifty-six billion, three hundred seventy-four million, one hundred forty-one thousand, eight hundred twenty-four".