45319477916160 has 960 divisors, whose sum is σ = 186138336384000. Its totient is φ = 10352131817472.

The previous prime is 45319477916087. The next prime is 45319477916249. The reversal of 45319477916160 is 6161977491354.

45319477916160 is a `hidden beast` number, since 4 + 5 + 3 + 1 + 9 + 4 + 7 + 7 + 9 + 1 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 11056225791 + ... + 11056229889.

It is an arithmetic number, because the mean of its divisors is an integer number (193894100400).

Almost surely, 2^{45319477916160} is an apocalyptic number.

45319477916160 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 45319477916160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93069168192000).

45319477916160 is an abundant number, since it is smaller than the sum of its proper divisors (140818858467840).

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

45319477916160 is an equidigital number, since it uses as much as digits as its factorization.

45319477916160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6683 (or 6655 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 45319477916160 in words is "forty-five trillion, three hundred nineteen billion, four hundred seventy-seven million, nine hundred sixteen thousand, one hundred sixty".