82668022431021 has 96 divisors (see below), whose sum is σ = 125481862950912. Its totient is φ = 52344803871360.

The previous prime is 82668022430993. The next prime is 82668022431023. The reversal of 82668022431021 is 12013422086628.

82668022431021 is a `hidden beast` number, since 82 + 66 + 80 + 2 + 2 + 431 + 0 + 2 + 1 = 666.

It is not a de Polignac number, because 82668022431021 - 2¹⁵ = 82668022398253 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82668022431023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39686999646 + ... + 39687001728.

It is an arithmetic number, because the mean of its divisors is an integer number (1307102739072).

Almost surely, 2^{82668022431021} is an apocalyptic number.

It is an amenable number.

82668022431021 is a deficient number, since it is larger than the sum of its proper divisors (42813840519891).

82668022431021 is a wasteful number, since it uses less digits than its factorization.

82668022431021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4423 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 82668022431021 in words is "eighty-two trillion, six hundred sixty-eight billion, twenty-two million, four hundred thirty-one thousand, twenty-one".