45531682560 has 864 divisors, whose sum is σ = 195795250560. Its totient is φ = 9569304576.

The previous prime is 45531682531. The next prime is 45531682589. The reversal of 45531682560 is 6528613554.

45531682560 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 1 + 6 + 82 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (45531682531) and next prime (45531682589).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 177165952 + ... + 177166208.

Almost surely, 2^45531682560 is an apocalyptic number.

45531682560 is a gapful number since it is divisible by the number (40) 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 45531682560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97897625280).

45531682560 is an abundant number, since it is smaller than the sum of its proper divisors (150263568000).

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

45531682560 is a wasteful number, since it uses less digits than its factorization.

45531682560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 45531682560 in words is "forty-five billion, five hundred thirty-one million, six hundred eighty-two thousand, five hundred sixty".