46115665200 has 630 divisors, whose sum is σ = 182727088572. Its totient is φ = 11171001600.

The previous prime is 46115665177. The next prime is 46115665217. The reversal of 46115665200 is 256651164.

46115665200 is a `hidden beast` number, since 4 + 61 + 15 + 66 + 520 + 0 = 666.

46115665200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 35282947 + ... + 35284253.

Almost surely, 2^46115665200 is an apocalyptic number.

46115665200 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 46115665200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91363544286).

46115665200 is an abundant number, since it is smaller than the sum of its proper divisors (136611423372).

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

46115665200 is a wasteful number, since it uses less digits than its factorization.

46115665200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1365 (or 1328 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 46115665200 in words is "forty-six billion, one hundred fifteen million, six hundred sixty-five thousand, two hundred".