493968552867344 has 60 divisors (see below), whose sum is σ = 1034984221939500. Its totient is φ = 228099421600512.

The previous prime is 493968552867299. The next prime is 493968552867443. The reversal of 493968552867344 is 443768255869394.

It can be written as a sum of positive squares in 2 ways, for example, as 334559949360400 + 159408603506944 = 18290980^2 + 12625712^2 .

It is a super-2 number, since 2×493968552867344² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1005980819 + ... + 1006471730.

It is an arithmetic number, because the mean of its divisors is an integer number (17249737032325).

Almost surely, 2^{493968552867344} is an apocalyptic number.

It is an amenable number.

493968552867344 is an abundant number, since it is smaller than the sum of its proper divisors (541015669072156).

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

493968552867344 is a wasteful number, since it uses less digits than its factorization.

493968552867344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012452632 (or 2012452603 counting only the distinct ones).

The product of its digits is 37623398400, while the sum is 83.

The spelling of 493968552867344 in words is "four hundred ninety-three trillion, nine hundred sixty-eight billion, five hundred fifty-two million, eight hundred sixty-seven thousand, three hundred forty-four".