82451266951824 has 45 divisors (see below), whose sum is σ = 230749336762633. Its totient is φ = 27483719329536.

The previous prime is 82451266951819. The next prime is 82451266951939. The reversal of 82451266951824 is 42815966215428.

The square root of 82451266951824 is 9080268.

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

82451266951824 is a `hidden beast` number, since 8 + 2 + 4 + 51 + 2 + 6 + 69 + 518 + 2 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78803472545424 + 3647794406400 = 8877132^2 + 1909920^2 .

It is a super-2 number, since 2×82451266951824² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 108584872 + ... + 109341560.

Almost surely, 2^{82451266951824} is an apocalyptic number.

82451266951824 is the 9080268-th square number.

It is an amenable number.

82451266951824 is an abundant number, since it is smaller than the sum of its proper divisors (148298069810809).

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

82451266951824 is an frugal number, since it uses more digits than its factorization.

82451266951824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513392 (or 756694 counting only the distinct ones).

The product of its digits is 66355200, while the sum is 63.

The spelling of 82451266951824 in words is "eighty-two trillion, four hundred fifty-one billion, two hundred sixty-six million, nine hundred fifty-one thousand, eight hundred twenty-four".