109538742816 has 36 divisors (see below), whose sum is σ = 311500800702. Its totient is φ = 36512914176.

The previous prime is 109538742811. The next prime is 109538742821. The reversal of 109538742816 is 618247835901.

109538742816 is a `hidden beast` number, since 1 + 0 + 9 + 538 + 74 + 28 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (109538742811) and next prime (109538742821).

It can be written as a sum of positive squares in only one way, i.e., 107975331216 + 1563411600 = 328596^2 + 39540^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (109538742811) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 190171141 + ... + 190171716.

It is a 2-persistent number, because it is pandigital, and so is 2⋅109538742816 = 219077485632, but 3⋅109538742816 = 328616228448 is not.

Almost surely, 2^109538742816 is an apocalyptic number.

109538742816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

109538742816 is an abundant number, since it is smaller than the sum of its proper divisors (201962057886).

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

109538742816 is a wasteful number, since it uses less digits than its factorization.

109538742816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380342873 (or 380342862 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 109538742816 in words is "one hundred nine billion, five hundred thirty-eight million, seven hundred forty-two thousand, eight hundred sixteen".