69612256812816 has 225 divisors, whose sum is σ = 214042574656911. Its totient is φ = 21837537460224.

The previous prime is 69612256812781. The next prime is 69612256812829. The reversal of 69612256812816 is 61821865221696.

The square root of 69612256812816 is 8343396.

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

69612256812816 is a `hidden beast` number, since 6 + 9 + 61 + 2 + 2 + 568 + 1 + 2 + 8 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16457658694416 + 53154598118400 = 4056804^2 + 7290720^2 .

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, 5106151536 + ... + 5106165168.

Almost surely, 2^{69612256812816} is an apocalyptic number.

69612256812816 is the 8343396-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 69612256812816

69612256812816 is an abundant number, since it is smaller than the sum of its proper divisors (144430317844095).

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

69612256812816 is an frugal number, since it uses more digits than its factorization.

69612256812816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27320 (or 13655 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The spelling of 69612256812816 in words is "sixty-nine trillion, six hundred twelve billion, two hundred fifty-six million, eight hundred twelve thousand, eight hundred sixteen".