46825452864 has 112 divisors (see below), whose sum is σ = 137719612800. Its totient is φ = 15601517568.

The previous prime is 46825452809. The next prime is 46825452941.

46825452864 is a `hidden beast` number, since 4 + 6 + 8 + 2 + 54 + 528 + 64 = 666.

46825452864 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 46825452864.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5125869 + ... + 5134995.

It is an arithmetic number, because the mean of its divisors is an integer number (1229639400).

Almost surely, 2^46825452864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46825452864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68859806400).

46825452864 is an abundant number, since it is smaller than the sum of its proper divisors (90894159936).

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

46825452864 is a wasteful number, since it uses less digits than its factorization.

46825452864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12117 (or 12101 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 54.

The spelling of 46825452864 in words is "forty-six billion, eight hundred twenty-five million, four hundred fifty-two thousand, eight hundred sixty-four".