46856908800 has 468 divisors, whose sum is σ = 180787689264. Its totient is φ = 11531059200.

The previous prime is 46856908793. The next prime is 46856908811. The reversal of 46856908800 is 880965864.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (468).

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, 11978845 + ... + 11982755.

Almost surely, 2^46856908800 is an apocalyptic number.

46856908800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46856908800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90393844632).

46856908800 is an abundant number, since it is smaller than the sum of its proper divisors (133930780464).

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

46856908800 is a wasteful number, since it uses less digits than its factorization.

46856908800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3964 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 46856908800 in words is "forty-six billion, eight hundred fifty-six million, nine hundred eight thousand, eight hundred".