108486976416 has 384 divisors, whose sum is σ = 390656286720. Its totient is φ = 25510920192.

The previous prime is 108486976387. The next prime is 108486976439. The reversal of 108486976416 is 614679684801.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 108486976416.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2802505 + ... + 2840951.

It is an arithmetic number, because the mean of its divisors is an integer number (1017334080).

Almost surely, 2^108486976416 is an apocalyptic number.

108486976416 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 108486976416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195328143360).

108486976416 is an abundant number, since it is smaller than the sum of its proper divisors (282169310304).

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

108486976416 is a wasteful number, since it uses less digits than its factorization.

108486976416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38516 (or 38508 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 60.

The spelling of 108486976416 in words is "one hundred eight billion, four hundred eighty-six million, nine hundred seventy-six thousand, four hundred sixteen".