46204026496992 has 576 divisors, whose sum is σ = 164263669839360. Its totient is φ = 11993860657152.

The previous prime is 46204026496931. The next prime is 46204026497011. The reversal of 46204026496992 is 29969462040264.

46204026496992 is a `hidden beast` number, since 4 + 6 + 20 + 402 + 64 + 9 + 69 + 92 = 666.

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 95 ways as a sum of consecutive naturals, for example, 2252855634 + ... + 2252876142.

It is an arithmetic number, because the mean of its divisors is an integer number (285179982360).

Almost surely, 2^{46204026496992} is an apocalyptic number.

46204026496992 is a gapful number since it is divisible by the number (42) 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 46204026496992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82131834919680).

46204026496992 is an abundant number, since it is smaller than the sum of its proper divisors (118059643342368).

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

46204026496992 is a wasteful number, since it uses less digits than its factorization.

46204026496992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21895 (or 21884 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 46204026496992 in words is "forty-six trillion, two hundred four billion, twenty-six million, four hundred ninety-six thousand, nine hundred ninety-two".