82908454846464 has 1125 divisors, whose sum is σ = 283081386706173. Its totient is φ = 24167646756864.

The previous prime is 82908454846433. The next prime is 82908454846489. The reversal of 82908454846464 is 46464845480928.

The square root of 82908454846464 is 9105408.

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

82908454846464 is a `hidden beast` number, since 8 + 2 + 9 + 0 + 84 + 5 + 4 + 84 + 6 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12264564326400 + 70643890520064 = 3502080^2 + 8404992^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 82908454846392 and 82908454846401.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 4363602886647 + ... + 4363602886665.

Almost surely, 2^{82908454846464} is an apocalyptic number.

82908454846464 is the 9105408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82908454846464

82908454846464 is an abundant number, since it is smaller than the sum of its proper divisors (200172931859709).

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

82908454846464 is an frugal number, since it uses more digits than its factorization.

82908454846464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 1698693120, while the sum is 72.

The spelling of 82908454846464 in words is "eighty-two trillion, nine hundred eight billion, four hundred fifty-four million, eight hundred forty-six thousand, four hundred sixty-four".