45180114745920 has 2688 divisors, whose sum is σ = 197620458061824. Its totient is φ = 8622028800000.

The previous prime is 45180114745853. The next prime is 45180114745967. The reversal of 45180114745920 is 2954741108154.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 55709142315 + ... + 55709143125.

It is an arithmetic number, because the mean of its divisors is an integer number (73519515648).

Almost surely, 2^{45180114745920} is an apocalyptic number.

45180114745920 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 45180114745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98810229030912).

45180114745920 is an abundant number, since it is smaller than the sum of its proper divisors (152440343315904).

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

45180114745920 is a wasteful number, since it uses less digits than its factorization.

45180114745920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1061 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 45180114745920 in words is "forty-five trillion, one hundred eighty billion, one hundred fourteen million, seven hundred forty-five thousand, nine hundred twenty".