84376184293801 has 9 divisors (see below), whose sum is σ = 85831079475351. Its totient is φ = 82945546707504.

The previous prime is 84376184293787. The next prime is 84376184293829. The reversal of 84376184293801 is 10839248167348.

The square root of 84376184293801 is 9185651.

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

It can be written as a sum of positive squares in only one way, i.e., 80043458783401 + 4332725510400 = 8946701^2 + 2081520^2 .

It is not a de Polignac number, because 84376184293801 - 2²³ = 84376175905193 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84376184293501) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 541875565 + ... + 542031253.

Almost surely, 2^{84376184293801} is an apocalyptic number.

84376184293801 is the 9185651-st square number.

84376184293801 is the 4592826-th centered octagonal number.

It is an amenable number.

84376184293801 is a deficient number, since it is larger than the sum of its proper divisors (1454895181550).

84376184293801 is an frugal number, since it uses more digits than its factorization.

84376184293801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311496 (or 155748 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 64.

The spelling of 84376184293801 in words is "eighty-four trillion, three hundred seventy-six billion, one hundred eighty-four million, two hundred ninety-three thousand, eight hundred one".