1082881659456 has 315 divisors, whose sum is σ = 3265348536219. Its totient is φ = 354841731072.

The previous prime is 1082881659443. The next prime is 1082881659493. The reversal of 1082881659456 is 6549561882801.

The square root of 1082881659456 is 1040616.

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

1082881659456 is a `hidden beast` number, since 1 + 0 + 8 + 28 + 8 + 16 + 594 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 237246926400 + 845634733056 = 487080^2 + 919584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1082881659393 and 1082881659402.

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, 7267662070 + ... + 7267662218.

Almost surely, 2^{1082881659456} is an apocalyptic number.

1082881659456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1082881659456 is the 1040616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1082881659456

1082881659456 is an abundant number, since it is smaller than the sum of its proper divisors (2182466876763).

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

1082881659456 is an frugal number, since it uses more digits than its factorization.

1082881659456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 516 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 63.

The spelling of 1082881659456 in words is "one trillion, eighty-two billion, eight hundred eighty-one million, six hundred fifty-nine thousand, four hundred fifty-six".