56613648384 has 192 divisors, whose sum is σ = 168412608000. Its totient is φ = 18791424000.

The previous prime is 56613648383. The next prime is 56613648389. The reversal of 56613648384 is 48384631665.

56613648384 is a `hidden beast` number, since 56 + 6 + 1 + 36 + 483 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×56613648384² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 56613648384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56613648383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13877257 + ... + 13881335.

It is an arithmetic number, because the mean of its divisors is an integer number (877149000).

Almost surely, 2^56613648384 is an apocalyptic number.

56613648384 is a gapful number since it is divisible by the number (54) 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 56613648384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84206304000).

56613648384 is an abundant number, since it is smaller than the sum of its proper divisors (111798959616).

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

56613648384 is a wasteful number, since it uses less digits than its factorization.

56613648384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4361 (or 4335 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 56613648384 in words is "fifty-six billion, six hundred thirteen million, six hundred forty-eight thousand, three hundred eighty-four".