94941618952401 has 81 divisors (see below), whose sum is σ = 149100579951219. Its totient is φ = 58189655826432.

The previous prime is 94941618952319. The next prime is 94941618952403. The reversal of 94941618952401 is 10425981614949.

The square root of 94941618952401 is 9743799.

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

94941618952401 is a `hidden beast` number, since 9 + 4 + 9 + 4 + 1 + 618 + 9 + 5 + 2 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 59896687097025 + 35044931855376 = 7739295^2 + 5919876^2 .

It is not a de Polignac number, because 94941618952401 - 2⁷ = 94941618952273 is a prime.

It is a super-2 number, since 2×94941618952401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (94941618952403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 164543533425 + ... + 164543534001.

Almost surely, 2^{94941618952401} is an apocalyptic number.

94941618952401 is the 9743799-th square number.

94941618952401 is the 4871900-th centered octagonal number.

It is an amenable number.

94941618952401 is a deficient number, since it is larger than the sum of its proper divisors (54158960998818).

94941618952401 is an frugal number, since it uses more digits than its factorization.

94941618952401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 94941618952401 in words is "ninety-four trillion, nine hundred forty-one billion, six hundred eighteen million, nine hundred fifty-two thousand, four hundred one".