82389496381956 has 81 divisors (see below), whose sum is σ = 210205676345301. Its totient is φ = 27209249211168.

The previous prime is 82389496381943. The next prime is 82389496381979. The reversal of 82389496381956 is 65918369498328.

The square root of 82389496381956 is 9076866.

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

82389496381956 is a `hidden beast` number, since 8 + 2 + 3 + 8 + 9 + 496 + 38 + 1 + 95 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 57425083708356 + 24964412673600 = 7577934^2 + 4996440^2 .

It is a super-2 number, since 2×82389496381956² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5936263425 + ... + 5936277303.

Almost surely, 2^{82389496381956} is an apocalyptic number.

82389496381956 is the 9076866-th square number.

It is an amenable number.

82389496381956 is an abundant number, since it is smaller than the sum of its proper divisors (127816179963345).

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

82389496381956 is an equidigital number, since it uses as much as digits as its factorization.

82389496381956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27986 (or 13993 counting only the distinct ones).

The product of its digits is 4837294080, while the sum is 81.

The spelling of 82389496381956 in words is "eighty-two trillion, three hundred eighty-nine billion, four hundred ninety-six million, three hundred eighty-one thousand, nine hundred fifty-six".