514089382464 has 84 divisors (see below), whose sum is σ = 1684050748224. Its totient is φ = 146882679552.

The previous prime is 514089382439. The next prime is 514089382493. The reversal of 514089382464 is 464283980415.

514089382464 is a `hidden beast` number, since 5 + 14 + 0 + 8 + 93 + 82 + 464 = 666.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×514089382464² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 514089382464.

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, 63747132 + ... + 63755195.

Almost surely, 2^514089382464 is an apocalyptic number.

It is an amenable number.

514089382464 is an abundant number, since it is smaller than the sum of its proper divisors (1169961365760).

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

514089382464 is a wasteful number, since it uses less digits than its factorization.

514089382464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127502352 (or 127502339 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 514089382464 in words is "five hundred fourteen billion, eighty-nine million, three hundred eighty-two thousand, four hundred sixty-four".