45509179097088 has 840 divisors, whose sum is σ = 156993982283712. Its totient is φ = 12916076838912.

The previous prime is 45509179097077. The next prime is 45509179097143. The reversal of 45509179097088 is 88079097190554.

It is a happy number.

45509179097088 is a `hidden beast` number, since 45 + 509 + 1 + 7 + 9 + 0 + 9 + 70 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 13126383931 + ... + 13126387397.

Almost surely, 2^{45509179097088} is an apocalyptic number.

45509179097088 is a gapful number since it is divisible by the number (48) 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 45509179097088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78496991141856).

45509179097088 is an abundant number, since it is smaller than the sum of its proper divisors (111484803186624).

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

45509179097088 is an frugal number, since it uses more digits than its factorization.

45509179097088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3636 counting only the distinct ones).

The product of its (nonzero) digits is 228614400, while the sum is 72.

The spelling of 45509179097088 in words is "forty-five trillion, five hundred nine billion, one hundred seventy-nine million, ninety-seven thousand, eighty-eight".