59141381386464 has 120 divisors (see below), whose sum is σ = 187312633782120. Its totient is φ = 18197348108544.

The previous prime is 59141381386319. The next prime is 59141381386471. The reversal of 59141381386464 is 46468318314195.

59141381386464 is a `hidden beast` number, since 5 + 9 + 1 + 4 + 1 + 38 + 138 + 6 + 464 = 666.

59141381386464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 19 ways as a sum of consecutive naturals, for example, 877539034 + ... + 877606425.

It is an arithmetic number, because the mean of its divisors is an integer number (1560938614851).

Almost surely, 2^{59141381386464} is an apocalyptic number.

59141381386464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

59141381386464 is an abundant number, since it is smaller than the sum of its proper divisors (128171252395656).

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

59141381386464 is a wasteful number, since it uses less digits than its factorization.

59141381386464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755145494 (or 1755145477 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 59141381386464 in words is "fifty-nine trillion, one hundred forty-one billion, three hundred eighty-one million, three hundred eighty-six thousand, four hundred sixty-four".