117108504253440 has 1584 divisors, whose sum is σ = 503750041546752. Its totient is φ = 24993678753792.

The previous prime is 117108504253409. The next prime is 117108504253523. The reversal of 117108504253440 is 44352405801711.

117108504253440 is a `hidden beast` number, since 1 + 1 + 7 + 108 + 5 + 0 + 4 + 2 + 534 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4874837269 + ... + 4874861291.

It is an arithmetic number, because the mean of its divisors is an integer number (318024016128).

Almost surely, 2^{117108504253440} is an apocalyptic number.

117108504253440 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 117108504253440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251875020773376).

117108504253440 is an abundant number, since it is smaller than the sum of its proper divisors (386641537293312).

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

117108504253440 is a wasteful number, since it uses less digits than its factorization.

117108504253440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24212 (or 24184 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 117108504253440 in words is "one hundred seventeen trillion, one hundred eight billion, five hundred four million, two hundred fifty-three thousand, four hundred forty".