396756442212516 has 135 divisors (see below), whose sum is σ = 1039187750932947. Its totient is φ = 131999139492480.

The previous prime is 396756442212503. The next prime is 396756442212547. The reversal of 396756442212516 is 615212244657693.

The square root of 396756442212516 is 19918746.

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

396756442212516 is a `hidden beast` number, since 3 + 9 + 6 + 7 + 5 + 64 + 42 + 2 + 12 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1450747980900 + 395305694231616 = 1204470^2 + 19882296^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 335949569446 + ... + 335949570626.

Almost surely, 2^{396756442212516} is an apocalyptic number.

396756442212516 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

396756442212516 is the 19918746-th square number.

It is an amenable number.

396756442212516 is an abundant number, since it is smaller than the sum of its proper divisors (642431308720431).

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

396756442212516 is an frugal number, since it uses more digits than its factorization.

396756442212516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4252 (or 2123 counting only the distinct ones).

The product of its digits is 130636800, while the sum is 63.

The spelling of 396756442212516 in words is "three hundred ninety-six trillion, seven hundred fifty-six billion, four hundred forty-two million, two hundred twelve thousand, five hundred sixteen".