108345444480 has 1920 divisors, whose sum is σ = 515886220080. Its totient is φ = 21403533312.

The previous prime is 108345444443. The next prime is 108345444499. The reversal of 108345444480 is 84444543801.

108345444480 is a `hidden beast` number, since 1 + 0 + 83 + 4 + 54 + 44 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 27830246976 + 80515197504 = 166824^2 + 283752^2 .

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 561375264 + ... + 561375456.

Almost surely, 2^108345444480 is an apocalyptic number.

108345444480 is a gapful number since it is divisible by the number (10) 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 108345444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257943110040).

108345444480 is an abundant number, since it is smaller than the sum of its proper divisors (407540775600).

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

108345444480 is a wasteful number, since it uses less digits than its factorization.

108345444480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 108345444480 in words is "one hundred eight billion, three hundred forty-five million, four hundred forty-four thousand, four hundred eighty".