84171935376 has 75 divisors (see below), whose sum is σ = 243648234291. Its totient is φ = 28053830304.

The previous prime is 84171935347. The next prime is 84171935383. The reversal of 84171935376 is 67353917148.

The square root of 84171935376 is 290124.

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

84171935376 is a `hidden beast` number, since 8 + 4 + 17 + 1 + 93 + 537 + 6 = 666.

It is a super-2 number, since 2×84171935376² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10440435 + ... + 10448493.

Almost surely, 2^84171935376 is an apocalyptic number.

84171935376 is the 290124-th square number.

It is an amenable number.

84171935376 is an abundant number, since it is smaller than the sum of its proper divisors (159476298915).

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

84171935376 is an frugal number, since it uses more digits than its factorization.

84171935376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16138 (or 8064 counting only the distinct ones).

The product of its digits is 3810240, while the sum is 54.

The spelling of 84171935376 in words is "eighty-four billion, one hundred seventy-one million, nine hundred thirty-five thousand, three hundred seventy-six".