56346748243968 has 1248 divisors, whose sum is σ = 197007011023872. Its totient is φ = 14179840819200.

The previous prime is 56346748243957. The next prime is 56346748243993. The reversal of 56346748243968 is 86934284764365.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×56346748243968² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56346748243968.

It is a congruent number.

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, 17713531338 + ... + 17713534518.

Almost surely, 2^{56346748243968} 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 56346748243968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98503505511936).

56346748243968 is an abundant number, since it is smaller than the sum of its proper divisors (140660262779904).

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

56346748243968 is a wasteful number, since it uses less digits than its factorization.

56346748243968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3310 counting only the distinct ones).

The product of its digits is 5016453120, while the sum is 75.

The spelling of 56346748243968 in words is "fifty-six trillion, three hundred forty-six billion, seven hundred forty-eight million, two hundred forty-three thousand, nine hundred sixty-eight".