556051741074816 has 64 divisors (see below), whose sum is σ = 1688014213985280. Its totient is φ = 158871926020608.

The previous prime is 556051741074799. The next prime is 556051741074839. The reversal of 556051741074816 is 618470147150655.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×556051741074816² (a number of 30 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 556051741074816.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 103432240816 + ... + 103432246191.

It is an arithmetic number, because the mean of its divisors is an integer number (26375222093520).

Almost surely, 2^{556051741074816} is an apocalyptic number.

556051741074816 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

556051741074816 is an abundant number, since it is smaller than the sum of its proper divisors (1131962472910464).

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

556051741074816 is a wasteful number, since it uses less digits than its factorization.

556051741074816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206864487031 (or 206864487019 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 60.

The spelling of 556051741074816 in words is "five hundred fifty-six trillion, fifty-one billion, seven hundred forty-one million, seventy-four thousand, eight hundred sixteen".