56678959702849 has 27 divisors (see below), whose sum is σ = 63860412944937. Its totient is φ = 50266575902400.

The previous prime is 56678959702817. The next prime is 56678959702867. The reversal of 56678959702849 is 94820795987665.

The square root of 56678959702849 is 7528543.

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

It can be written as a sum of positive squares in 4 ways, for example, as 43850155583025 + 12828804119824 = 6621945^2 + 3581732^2 .

It is not a de Polignac number, because 56678959702849 - 2⁵ = 56678959702817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (56678959702249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3395364547 + ... + 3395381239.

Almost surely, 2^{56678959702849} is an apocalyptic number.

56678959702849 is the 7528543-rd square number.

56678959702849 is the 3764272-nd centered octagonal number.

It is an amenable number.

56678959702849 is a deficient number, since it is larger than the sum of its proper divisors (7181453242088).

56678959702849 is an frugal number, since it uses more digits than its factorization.

56678959702849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33490 (or 16745 counting only the distinct ones).

The product of its (nonzero) digits is 16460236800, while the sum is 85.

The spelling of 56678959702849 in words is "fifty-six trillion, six hundred seventy-eight billion, nine hundred fifty-nine million, seven hundred two thousand, eight hundred forty-nine".