46021165056000 has 432 divisors, whose sum is σ = 165921539100408. Its totient is φ = 12272271360000.

The previous prime is 46021165055989. The next prime is 46021165056073. The reversal of 46021165056000 is 65056112064.

46021165056000 is a `hidden beast` number, since 4 + 60 + 21 + 16 + 5 + 0 + 560 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2428211625984 + 43592953430016 = 1558272^2 + 6602496^2 .

It is a super-2 number, since 2×46021165056000² (a number of 28 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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147299950 + ... + 147612050.

Almost surely, 2^{46021165056000} is an apocalyptic number.

46021165056000 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 46021165056000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82960769550204).

46021165056000 is an abundant number, since it is smaller than the sum of its proper divisors (119900374044408).

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

46021165056000 is an frugal number, since it uses more digits than its factorization.

46021165056000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312156 (or 312111 counting only the distinct ones).

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

The spelling of 46021165056000 in words is "forty-six trillion, twenty-one billion, one hundred sixty-five million, fifty-six thousand".