108114080256 has 480 divisors, whose sum is σ = 396465957888. Its totient is φ = 27590492160.

The previous prime is 108114080237. The next prime is 108114080279. The reversal of 108114080256 is 652080411801.

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

It is a self number, because there is not a number n which added to its sum of digits gives 108114080256.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12995010 + ... + 13003326.

Almost surely, 2^108114080256 is an apocalyptic number.

108114080256 is a gapful number since it is divisible by the number (16) 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 108114080256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198232978944).

108114080256 is an abundant number, since it is smaller than the sum of its proper divisors (288351877632).

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

108114080256 is a wasteful number, since it uses less digits than its factorization.

108114080256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8392 (or 8373 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 108114080256 in words is "one hundred eight billion, one hundred fourteen million, eighty thousand, two hundred fifty-six".