109038921114816 has 1680 divisors, whose sum is σ = 422085297043872. Its totient is φ = 27502704230400.

The previous prime is 109038921114803. The next prime is 109038921114863. The reversal of 109038921114816 is 618411129830901.

109038921114816 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 389 + 211 + 1 + 48 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 105555586236 + ... + 105555587268.

Almost surely, 2^{109038921114816} is an apocalyptic number.

109038921114816 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 109038921114816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211042648521936).

109038921114816 is an abundant number, since it is smaller than the sum of its proper divisors (313046375929056).

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

109038921114816 is a wasteful number, since it uses less digits than its factorization.

109038921114816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2114 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 54.

The spelling of 109038921114816 in words is "one hundred nine trillion, thirty-eight billion, nine hundred twenty-one million, one hundred fourteen thousand, eight hundred sixteen".