45532675618560 has 504 divisors, whose sum is σ = 176101390390464. Its totient is φ = 11208040243200.

The previous prime is 45532675618543. The next prime is 45532675618583. The reversal of 45532675618560 is 6581657623554.

45532675618560 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 2 + 6 + 7 + 5 + 61 + 8 + 560 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 10253785 + ... + 14007335.

It is an arithmetic number, because the mean of its divisors is an integer number (349407520616).

Almost surely, 2^{45532675618560} is an apocalyptic number.

45532675618560 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 45532675618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88050695195232).

45532675618560 is an abundant number, since it is smaller than the sum of its proper divisors (130568714771904).

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

45532675618560 is an equidigital number, since it uses as much as digits as its factorization.

45532675618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3753603 (or 3753574 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 63.

The spelling of 45532675618560 in words is "forty-five trillion, five hundred thirty-two billion, six hundred seventy-five million, six hundred eighteen thousand, five hundred sixty".