12282978165264 has 405 divisors, whose sum is σ = 37068296470023. Its totient is φ = 3942544161024.

The previous prime is 12282978165257. The next prime is 12282978165277. The reversal of 12282978165264 is 46256187928221.

The square root of 12282978165264 is 3504708.

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

12282978165264 is a `hidden beast` number, since 1 + 2 + 2 + 8 + 2 + 97 + 8 + 16 + 526 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 56710659600 + 12226267505664 = 238140^2 + 3496608^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 32930236182 + ... + 32930236554.

Almost surely, 2^{12282978165264} is an apocalyptic number.

12282978165264 is the 3504708-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12282978165264

12282978165264 is an abundant number, since it is smaller than the sum of its proper divisors (24785318304759).

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

12282978165264 is an frugal number, since it uses more digits than its factorization.

12282978165264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 836 (or 407 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 63.

The spelling of 12282978165264 in words is "twelve trillion, two hundred eighty-two billion, nine hundred seventy-eight million, one hundred sixty-five thousand, two hundred sixty-four".