46616236800 has 432 divisors, whose sum is σ = 177062333952. Its totient is φ = 10579968000.

The previous prime is 46616236787. The next prime is 46616236811. The reversal of 46616236800 is 863261664.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20293252 + ... + 20295548.

Almost surely, 2^46616236800 is an apocalyptic number.

46616236800 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 46616236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88531166976).

46616236800 is an abundant number, since it is smaller than the sum of its proper divisors (130446097152).

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

46616236800 is a wasteful number, since it uses less digits than its factorization.

46616236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 46616236800 in words is "forty-six billion, six hundred sixteen million, two hundred thirty-six thousand, eight hundred".