83542188816 has 30 divisors (see below), whose sum is σ = 233802098270. Its totient is φ = 27847396224.

The previous prime is 83542188811. The next prime is 83542188841. The reversal of 83542188816 is 61888124538.

83542188816 is a `hidden beast` number, since 8 + 3 + 542 + 1 + 8 + 88 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 77473155600 + 6069033216 = 278340^2 + 77904^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (83542188811) 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, 290076901 + ... + 290077188.

Almost surely, 2^83542188816 is an apocalyptic number.

It is an amenable number.

83542188816 is an abundant number, since it is smaller than the sum of its proper divisors (150259909454).

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

83542188816 is a wasteful number, since it uses less digits than its factorization.

83542188816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580154103 (or 580154094 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 83542188816 in words is "eighty-three billion, five hundred forty-two million, one hundred eighty-eight thousand, eight hundred sixteen".