45486475680000 has 720 divisors, whose sum is σ = 160516034876736. Its totient is φ = 11391959040000.

The previous prime is 45486475679989. The next prime is 45486475680011. The reversal of 45486475680000 is 8657468454.

It is an interprime number because it is at equal distance from previous prime (45486475679989) and next prime (45486475680011).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4006554324 + ... + 4006565676.

Almost surely, 2^{45486475680000} is an apocalyptic number.

45486475680000 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 45486475680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80258017438368).

45486475680000 is an abundant number, since it is smaller than the sum of its proper divisors (115029559196736).

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

45486475680000 is a wasteful number, since it uses less digits than its factorization.

45486475680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11900 (or 11871 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 57.

The spelling of 45486475680000 in words is "forty-five trillion, four hundred eighty-six billion, four hundred seventy-five million, six hundred eighty thousand".