6556456054464 has 112 divisors (see below), whose sum is σ = 17793519485280. Its totient is φ = 2129406197760.

The previous prime is 6556456054459. The next prime is 6556456054487. The reversal of 6556456054464 is 4644506546556.

It is a junction number, because it is equal to n+sod(n) for n = 6556456054398 and 6556456054407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5512032 + ... + 6595104.

It is an arithmetic number, because the mean of its divisors is an integer number (158870709690).

Almost surely, 2^{6556456054464} is an apocalyptic number.

6556456054464 is a gapful number since it is divisible by the number (64) 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 6556456054464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896759742640).

6556456054464 is an abundant number, since it is smaller than the sum of its proper divisors (11237063430816).

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

6556456054464 is a wasteful number, since it uses less digits than its factorization.

6556456054464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1083898 (or 1083888 counting only the distinct ones).

The product of its (nonzero) digits is 207360000, while the sum is 60.

The spelling of 6556456054464 in words is "six trillion, five hundred fifty-six billion, four hundred fifty-six million, fifty-four thousand, four hundred sixty-four".