42966923767056 has 225 divisors, whose sum is σ = 127494570722079. Its totient is φ = 13969836979200.

The previous prime is 42966923767043. The next prime is 42966923767067. The reversal of 42966923767056 is 65076732966924.

The square root of 42966923767056 is 6554916.

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

42966923767056 is a `hidden beast` number, since 42 + 9 + 66 + 92 + 376 + 70 + 5 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16952027536656 + 26014896230400 = 4117284^2 + 5100480^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 9675053796 + ... + 9675058236.

Almost surely, 2^{42966923767056} is an apocalyptic number.

42966923767056 is the 6554916-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42966923767056

42966923767056 is an abundant number, since it is smaller than the sum of its proper divisors (84527646955023).

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

42966923767056 is an frugal number, since it uses more digits than its factorization.

42966923767056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8984 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 1234517760, while the sum is 72.

The spelling of 42966923767056 in words is "forty-two trillion, nine hundred sixty-six billion, nine hundred twenty-three million, seven hundred sixty-seven thousand, fifty-six".