46864864800 has 216 divisors, whose sum is σ = 177969679524. Its totient is φ = 11535943680.

The previous prime is 46864864769. The next prime is 46864864831. The reversal of 46864864800 is 846846864.

46864864800 is a `hidden beast` number, since 4 + 6 + 86 + 4 + 86 + 480 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46864864769) and next prime (46864864831).

It can be written as a sum of positive squares in 6 ways, for example, as 17963504784 + 28901360016 = 134028^2 + 170004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156747 + ... + 343946.

Almost surely, 2^46864864800 is an apocalyptic number.

46864864800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46864864800 is an abundant number, since it is smaller than the sum of its proper divisors (131104814724).

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

46864864800 is a wasteful number, since it uses less digits than its factorization.

46864864800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 500732 (or 500716 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 46864864800 in words is "forty-six billion, eight hundred sixty-four million, eight hundred sixty-four thousand, eight hundred".