46692205056 has 960 divisors, whose sum is σ = 174429192960. Its totient is φ = 12415721472.

The previous prime is 46692204989. The next prime is 46692205067. The reversal of 46692205056 is 65050229664.

It is a happy number.

46692205056 is a `hidden beast` number, since 466 + 92 + 2 + 0 + 50 + 56 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1261951470 + ... + 1261951506.

It is an arithmetic number, because the mean of its divisors is an integer number (181697076).

Almost surely, 2^46692205056 is an apocalyptic number.

46692205056 is a gapful number since it is divisible by the number (46) 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 46692205056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87214596480).

46692205056 is an abundant number, since it is smaller than the sum of its proper divisors (127736987904).

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

46692205056 is an frugal number, since it uses more digits than its factorization.

46692205056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 46692205056 in words is "forty-six billion, six hundred ninety-two million, two hundred five thousand, fifty-six".