84001684177 has 12 divisors (see below), whose sum is σ = 86789847540. Its totient is φ = 81295226208.

The previous prime is 84001684159. The next prime is 84001684189. The reversal of 84001684177 is 77148610048.

It can be written as a sum of positive squares in 2 ways, for example, as 19266550416 + 64735133761 = 138804^2 + 254431^2 .

It is not a de Polignac number, because 84001684177 - 2¹¹ = 84001682129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84001681177) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6858 + ... + 409939.

It is an arithmetic number, because the mean of its divisors is an integer number (7232487295).

Almost surely, 2^84001684177 is an apocalyptic number.

It is an amenable number.

84001684177 is a deficient number, since it is larger than the sum of its proper divisors (2788163363).

84001684177 is a wasteful number, since it uses less digits than its factorization.

84001684177 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416992 (or 416949 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 46.

The spelling of 84001684177 in words is "eighty-four billion, one million, six hundred eighty-four thousand, one hundred seventy-seven".