46864618416 has 1080 divisors, whose sum is σ = 184775048640. Its totient is φ = 11424188160.

The previous prime is 46864618351. The next prime is 46864618417. The reversal of 46864618416 is 61481646864.

46864618416 is a `hidden beast` number, since 4 + 6 + 8 + 6 + 4 + 618 + 4 + 16 = 666.

46864618416 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 (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (46864618417) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 437987035 + ... + 437987141.

It is an arithmetic number, because the mean of its divisors is an integer number (171088008).

Almost surely, 2^46864618416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46864618416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92387524320).

46864618416 is an abundant number, since it is smaller than the sum of its proper divisors (137910430224).

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

46864618416 is a wasteful number, since it uses less digits than its factorization.

46864618416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 149 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 46864618416 in words is "forty-six billion, eight hundred sixty-four million, six hundred eighteen thousand, four hundred sixteen".