45093918058496 has 192 divisors, whose sum is σ = 95485193556480. Its totient is φ = 21261164544000.

The previous prime is 45093918058433. The next prime is 45093918058499. The reversal of 45093918058496 is 69485081939054.

45093918058496 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45093918058496² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45093918058499) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 414331766 + ... + 414440586.

It is an arithmetic number, because the mean of its divisors is an integer number (497318716440).

Almost surely, 2^{45093918058496} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45093918058496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47742596778240).

45093918058496 is an abundant number, since it is smaller than the sum of its proper divisors (50391275497984).

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

45093918058496 is a wasteful number, since it uses less digits than its factorization.

45093918058496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109042 (or 109022 counting only the distinct ones).

The product of its (nonzero) digits is 335923200, while the sum is 71.

The spelling of 45093918058496 in words is "forty-five trillion, ninety-three billion, nine hundred eighteen million, fifty-eight thousand, four hundred ninety-six".