108748682943516 has 2304 divisors, whose sum is σ = 403499721031680. Its totient is φ = 24760899072000.

The previous prime is 108748682943487. The next prime is 108748682943529. The reversal of 108748682943516 is 615349286847801.

108748682943516 is a `hidden beast` number, since 1 + 0 + 8 + 7 + 4 + 8 + 68 + 2 + 9 + 43 + 516 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 99495592266 + ... + 99495593358.

It is a 2-persistent number, because it is pandigital, and so is 2⋅108748682943516 = 217497365887032, but 3⋅108748682943516 = 326246048830548 is not.

Almost surely, 2^{108748682943516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 108748682943516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201749860515840).

108748682943516 is an abundant number, since it is smaller than the sum of its proper divisors (294751038088164).

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

108748682943516 is a wasteful number, since it uses less digits than its factorization.

108748682943516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1278 (or 1264 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 108748682943516 in words is "one hundred eight trillion, seven hundred forty-eight billion, six hundred eighty-two million, nine hundred forty-three thousand, five hundred sixteen".