46487577578464 has 24 divisors (see below), whose sum is σ = 99842638209048. Its totient is φ = 21130717080960.

The previous prime is 46487577578443. The next prime is 46487577578479.

46487577578464 is nontrivially palindromic in base 10.

46487577578464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×46487577578464² (a number of 28 digits) contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 66033490527 + ... + 66033491230.

It is an arithmetic number, because the mean of its divisors is an integer number (4160109925377).

Almost surely, 2^{46487577578464} is an apocalyptic number.

46487577578464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46487577578464 is an abundant number, since it is smaller than the sum of its proper divisors (53355060630584).

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

46487577578464 is a wasteful number, since it uses less digits than its factorization.

46487577578464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132066981778 (or 132066981770 counting only the distinct ones).

The product of its digits is 35404185600, while the sum is 82.

The spelling of 46487577578464 in words is "forty-six trillion, four hundred eighty-seven billion, five hundred seventy-seven million, five hundred seventy-eight thousand, four hundred sixty-four".