84871980334801 has 9 divisors (see below), whose sum is σ = 93289147624603. Its totient is φ = 77156253632920.

The previous prime is 84871980334793. The next prime is 84871980334831. The reversal of 84871980334801 is 10843308917848.

The square root of 84871980334801 is 9212599.

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., 81100849371201 + 3771130963600 = 9005601^2 + 1941940^2 .

It is not a de Polignac number, because 84871980334801 - 2³ = 84871980334793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84871980334831) 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, 100919835 + ... + 101757343.

Almost surely, 2^{84871980334801} is an apocalyptic number.

84871980334801 is the 9212599-th square number.

84871980334801 is the 4606300-th centered octagonal number.

It is an amenable number.

84871980334801 is a deficient number, since it is larger than the sum of its proper divisors (8417167289802).

84871980334801 is an frugal number, since it uses more digits than its factorization.

84871980334801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1675040 (or 837520 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 64.

The spelling of 84871980334801 in words is "eighty-four trillion, eight hundred seventy-one billion, nine hundred eighty million, three hundred thirty-four thousand, eight hundred one".