46563251328 has 512 divisors, whose sum is σ = 160437024000. Its totient is φ = 13138329600.

The previous prime is 46563251281. The next prime is 46563251333. The reversal of 46563251328 is 82315236564.

46563251328 is a `hidden beast` number, since 4 + 6 + 5 + 632 + 5 + 1 + 3 + 2 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 70443318 + ... + 70443978.

Almost surely, 2^46563251328 is an apocalyptic number.

46563251328 is a gapful number since it is divisible by the number (48) 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 46563251328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80218512000).

46563251328 is an abundant number, since it is smaller than the sum of its proper divisors (113873772672).

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

46563251328 is a wasteful number, since it uses less digits than its factorization.

46563251328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 803 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 46563251328 in words is "forty-six billion, five hundred sixty-three million, two hundred fifty-one thousand, three hundred twenty-eight".