108874995840 has 1152 divisors, whose sum is σ = 447947463600. Its totient is φ = 24135598080.

The previous prime is 108874995811. The next prime is 108874995847. The reversal of 108874995840 is 48599478801.

108874995840 is a `hidden beast` number, since 1 + 0 + 8 + 8 + 7 + 49 + 9 + 584 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 25113374784 + 83761621056 = 158472^2 + 289416^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is not an unprimeable number, because it can be changed into a prime (108874995847) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1223314516 + ... + 1223314604.

Almost surely, 2^108874995840 is an apocalyptic number.

108874995840 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 108874995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223973731800).

108874995840 is an abundant number, since it is smaller than the sum of its proper divisors (339072467760).

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

108874995840 is a wasteful number, since it uses less digits than its factorization.

108874995840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 108874995840 in words is "one hundred eight billion, eight hundred seventy-four million, nine hundred ninety-five thousand, eight hundred forty".