46164331607040 has 1232 divisors, whose sum is σ = 174269220967296. Its totient is φ = 11706251673600.

The previous prime is 46164331607021. The next prime is 46164331607077. The reversal of 46164331607040 is 4070613346164.

46164331607040 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 4 + 3 + 31 + 607 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×46164331607040² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 15538312755 + ... + 15538315725.

Almost surely, 2^{46164331607040} is an apocalyptic number.

46164331607040 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 46164331607040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87134610483648).

46164331607040 is an abundant number, since it is smaller than the sum of its proper divisors (128104889360256).

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

46164331607040 is a wasteful number, since it uses less digits than its factorization.

46164331607040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3218 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 46164331607040 in words is "forty-six trillion, one hundred sixty-four billion, three hundred thirty-one million, six hundred seven thousand, forty".