45207117096960 has 768 divisors, whose sum is σ = 178107230246400. Its totient is φ = 9532622241792.

The previous prime is 45207117096929. The next prime is 45207117096989. The reversal of 45207117096960 is 6969071170254.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 45207117096960.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6253574626 + ... + 6253581854.

It is an arithmetic number, because the mean of its divisors is an integer number (231910456050).

Almost surely, 2^{45207117096960} is an apocalyptic number.

45207117096960 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 45207117096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89053615123200).

45207117096960 is an abundant number, since it is smaller than the sum of its proper divisors (132900113149440).

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

45207117096960 is a wasteful number, since it uses less digits than its factorization.

45207117096960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9496 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 57.

The spelling of 45207117096960 in words is "forty-five trillion, two hundred seven billion, one hundred seventeen million, ninety-six thousand, nine hundred sixty".