46120624416 has 72 divisors (see below), whose sum is σ = 131622502284. Its totient is φ = 15318804480.

The previous prime is 46120624391. The next prime is 46120624481. The reversal of 46120624416 is 61442602164.

46120624416 is a `hidden beast` number, since 4 + 6 + 1 + 20 + 624 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 45907347600 + 213276816 = 214260^2 + 14604^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×46120624416² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 204021 + ... + 365876.

Almost surely, 2^46120624416 is an apocalyptic number.

It is an amenable number.

46120624416 is an abundant number, since it is smaller than the sum of its proper divisors (85501877868).

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

46120624416 is a wasteful number, since it uses less digits than its factorization.

46120624416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570194 (or 570183 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 46120624416 in words is "forty-six billion, one hundred twenty million, six hundred twenty-four thousand, four hundred sixteen".