45660195060480 has 5184 divisors, whose sum is σ = 226882929401856. Its totient is φ = 8323596288000.

The previous prime is 45660195060433. The next prime is 45660195060517. The reversal of 45660195060480 is 8406059106654.

45660195060480 is a `hidden beast` number, since 4 + 56 + 6 + 0 + 1 + 9 + 50 + 60 + 480 = 666.

It is a super-2 number, since 2×45660195060480² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 177666128512 + ... + 177666128768.

It is an arithmetic number, because the mean of its divisors is an integer number (43765997184).

Almost surely, 2^{45660195060480} is an apocalyptic number.

45660195060480 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 45660195060480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113441464700928).

45660195060480 is an abundant number, since it is smaller than the sum of its proper divisors (181222734341376).

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

45660195060480 is a wasteful number, since it uses less digits than its factorization.

45660195060480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 45660195060480 in words is "forty-five trillion, six hundred sixty billion, one hundred ninety-five million, sixty thousand, four hundred eighty".