46532472624 has 480 divisors, whose sum is σ = 159922145280. Its totient is φ = 12831436800.

The previous prime is 46532472599. The next prime is 46532472653. The reversal of 46532472624 is 42627423564.

46532472624 is a `hidden beast` number, since 4 + 65 + 324 + 7 + 262 + 4 = 666.

46532472624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 46532472624.

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, 42572622 + ... + 42573714.

It is an arithmetic number, because the mean of its divisors is an integer number (333171136).

Almost surely, 2^46532472624 is an apocalyptic number.

46532472624 is a gapful number since it is divisible by the number (44) 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 46532472624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79961072640).

46532472624 is an abundant number, since it is smaller than the sum of its proper divisors (113389672656).

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

46532472624 is a wasteful number, since it uses less digits than its factorization.

46532472624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1186 (or 1157 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 45.

The spelling of 46532472624 in words is "forty-six billion, five hundred thirty-two million, four hundred seventy-two thousand, six hundred twenty-four".