108659414640 has 320 divisors, whose sum is σ = 405974016000. Its totient is φ = 23485842432.

The previous prime is 108659414609. The next prime is 108659414683. The reversal of 108659414640 is 46414956801.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 108659414640.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19117239 + ... + 19122921.

It is an arithmetic number, because the mean of its divisors is an integer number (1268668800).

Almost surely, 2^108659414640 is an apocalyptic number.

108659414640 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 108659414640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202987008000).

108659414640 is an abundant number, since it is smaller than the sum of its proper divisors (297314601360).

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

108659414640 is a wasteful number, since it uses less digits than its factorization.

108659414640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6324 (or 6318 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 108659414640 in words is "one hundred eight billion, six hundred fifty-nine million, four hundred fourteen thousand, six hundred forty".