84688380511641 has 27 divisors (see below), whose sum is σ = 126402283759167. Its totient is φ = 54637112688480.

The previous prime is 84688380511627. The next prime is 84688380511649. The reversal of 84688380511641 is 14611508388648.

It is a happy number.

The square root of 84688380511641 is 9202629.

It is a perfect power (a square), and thus also a powerful number.

84688380511641 is a `hidden beast` number, since 8 + 4 + 6 + 88 + 38 + 0 + 511 + 6 + 4 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44308659425625 + 40379721086016 = 6656475^2 + 6354504^2 .

It is not a de Polignac number, because 84688380511641 - 2²⁵ = 84688346957209 is a prime.

It is not an unprimeable number, because it can be changed into a prime (84688380511649) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 855795021 + ... + 855893973.

Almost surely, 2^{84688380511641} is an apocalyptic number.

84688380511641 is the 9202629-th square number.

84688380511641 is the 4601315-th centered octagonal number.

It is an amenable number.

84688380511641 is a deficient number, since it is larger than the sum of its proper divisors (41713903247526).

84688380511641 is an frugal number, since it uses more digits than its factorization.

84688380511641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197974 (or 98987 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 63.

The spelling of 84688380511641 in words is "eighty-four trillion, six hundred eighty-eight billion, three hundred eighty million, five hundred eleven thousand, six hundred forty-one".