46577677564 has 18 divisors (see below), whose sum is σ = 89594665832. Its totient is φ = 21171671400.

The previous prime is 46577677561. The next prime is 46577677669.

It is a happy number.

46577677564 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 46577677496 and 46577677505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46577677561) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48116952 + ... + 48117919.

Almost surely, 2^46577677564 is an apocalyptic number.

46577677564 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46577677564 is a deficient number, since it is larger than the sum of its proper divisors (43016988268).

46577677564 is a wasteful number, since it uses less digits than its factorization.

46577677564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96234897 (or 96234884 counting only the distinct ones).

The product of its digits is 207446400, while the sum is 64.

The spelling of 46577677564 in words is "forty-six billion, five hundred seventy-seven million, six hundred seventy-seven thousand, five hundred sixty-four".