46074416955840 has 2016 divisors, whose sum is σ = 201616016644224. Its totient is φ = 9404177448960.

The previous prime is 46074416955829. The next prime is 46074416955851. The reversal of 46074416955840 is 4855961447064.

46074416955840 is a `hidden beast` number, since 4 + 6 + 0 + 7 + 4 + 41 + 6 + 9 + 5 + 584 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (46074416955829) and next prime (46074416955851).

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 100819292892 + ... + 100819293348.

It is an arithmetic number, because the mean of its divisors is an integer number (100007944764).

Almost surely, 2^{46074416955840} is an apocalyptic number.

46074416955840 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 46074416955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100808008322112).

46074416955840 is an abundant number, since it is smaller than the sum of its proper divisors (155541599688384).

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

46074416955840 is a wasteful number, since it uses less digits than its factorization.

46074416955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 46074416955840 in words is "forty-six trillion, seventy-four billion, four hundred sixteen million, nine hundred fifty-five thousand, eight hundred forty".