108716414400 has 1008 divisors, whose sum is σ = 456354362880. Its totient is φ = 24249139200.

The previous prime is 108716414371. The next prime is 108716414473. The reversal of 108716414400 is 4414617801.

108716414400 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 1 + 641 + 4 + 4 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 126561171 + ... + 126562029.

Almost surely, 2^108716414400 is an apocalyptic number.

108716414400 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 108716414400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228177181440).

108716414400 is an abundant number, since it is smaller than the sum of its proper divisors (347637948480).

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

108716414400 is a wasteful number, since it uses less digits than its factorization.

108716414400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 108716414400 in words is "one hundred eight billion, seven hundred sixteen million, four hundred fourteen thousand, four hundred".