94229966961 has 81 divisors (see below), whose sum is σ = 156903926049. Its totient is φ = 54458756352.

The previous prime is 94229966951. The next prime is 94229967011. The reversal of 94229966961 is 16966992249.

The square root of 94229966961 is 306969.

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

94229966961 is a `hidden beast` number, since 9 + 422 + 9 + 96 + 69 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 850830561 + 93379136400 = 29169^2 + 305580^2 .

It is not a de Polignac number, because 94229966961 - 2²¹ = 94227869809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (94229966951) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 203520216 + ... + 203520678.

Almost surely, 2^94229966961 is an apocalyptic number.

94229966961 is the 306969-th square number.

94229966961 is the 153485-th centered octagonal number.

It is an amenable number.

94229966961 is a deficient number, since it is larger than the sum of its proper divisors (62673959088).

94229966961 is a wasteful number, since it uses less digits than its factorization.

94229966961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 496 counting only the distinct ones).

The product of its digits is 22674816, while the sum is 63.

The spelling of 94229966961 in words is "ninety-four billion, two hundred twenty-nine million, nine hundred sixty-six thousand, nine hundred sixty-one".