83916128187 has 48 divisors (see below), whose sum is σ = 126797239296. Its totient is φ = 53416440000.

The previous prime is 83916128119. The next prime is 83916128201. The reversal of 83916128187 is 78182161938.

83916128187 is a `hidden beast` number, since 8 + 3 + 9 + 1 + 612 + 8 + 18 + 7 = 666.

It is not a de Polignac number, because 83916128187 - 2¹² = 83916124091 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83916128587) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21788812 + ... + 21792662.

It is an arithmetic number, because the mean of its divisors is an integer number (2641609152).

Almost surely, 2^83916128187 is an apocalyptic number.

83916128187 is a deficient number, since it is larger than the sum of its proper divisors (42881111109).

83916128187 is a wasteful number, since it uses less digits than its factorization.

83916128187 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4912 (or 4909 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The spelling of 83916128187 in words is "eighty-three billion, nine hundred sixteen million, one hundred twenty-eight thousand, one hundred eighty-seven".