46541157563664 has 225 divisors, whose sum is σ = 139211833830069. Its totient is φ = 15010820674560.

The previous prime is 46541157563657. The next prime is 46541157563701. The reversal of 46541157563664 is 46636575114564.

The square root of 46541157563664 is 6822108.

It is a perfect power (a square), and thus also a powerful number.

46541157563664 is a `hidden beast` number, since 4 + 6 + 5 + 4 + 1 + 1 + 5 + 7 + 563 + 6 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25727415728400 + 20813741835264 = 5072220^2 + 4562208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 7613469472 + ... + 7613475584.

Almost surely, 2^{46541157563664} is an apocalyptic number.

46541157563664 is the 6822108-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46541157563664

46541157563664 is an abundant number, since it is smaller than the sum of its proper divisors (92670676266405).

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

46541157563664 is an frugal number, since it uses more digits than its factorization.

46541157563664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12308 (or 6149 counting only the distinct ones).

The product of its digits is 217728000, while the sum is 63.

The spelling of 46541157563664 in words is "forty-six trillion, five hundred forty-one billion, one hundred fifty-seven million, five hundred sixty-three thousand, six hundred sixty-four".