46577877877564 has 96 divisors (see below), whose sum is σ = 92782471320000. Its totient is φ = 20434079635200.

The previous prime is 46577877877561. The next prime is 46577877877579.

46577877877564 is nontrivially palindromic in base 10.

46577877877564 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 not an unprimeable number, because it can be changed into a prime (46577877877561) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 424379734 + ... + 424489474.

It is an arithmetic number, because the mean of its divisors is an integer number (966484076250).

Almost surely, 2^{46577877877564} is an apocalyptic number.

46577877877564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46577877877564 is a deficient number, since it is larger than the sum of its proper divisors (46204593442436).

46577877877564 is a wasteful number, since it uses less digits than its factorization.

46577877877564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112556 (or 112532 counting only the distinct ones).

The product of its digits is 108425318400, while the sum is 88.

The spelling of 46577877877564 in words is "forty-six trillion, five hundred seventy-seven billion, eight hundred seventy-seven million, eight hundred seventy-seven thousand, five hundred sixty-four".