8352770493456 has 225 divisors, whose sum is σ = 24763897199151. Its totient is φ = 2718050053824.

The previous prime is 8352770493443. The next prime is 8352770493461. The reversal of 8352770493456 is 6543940772538.

It is a happy number.

The square root of 8352770493456 is 2890116.

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

8352770493456 is a `hidden beast` number, since 8 + 3 + 5 + 27 + 70 + 4 + 93 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8352770493393 and 8352770493402.

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, 4473898635 + ... + 4473900501.

Almost surely, 2^{8352770493456} is an apocalyptic number.

8352770493456 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

8352770493456 is the 2890116-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8352770493456

8352770493456 is an abundant number, since it is smaller than the sum of its proper divisors (16411126705695).

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

8352770493456 is an frugal number, since it uses more digits than its factorization.

8352770493456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3840 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 8352770493456 in words is "eight trillion, three hundred fifty-two billion, seven hundred seventy million, four hundred ninety-three thousand, four hundred fifty-six".