185064296481 has 81 divisors (see below), whose sum is σ = 286146077971. Its totient is φ = 119682577728.

The previous prime is 185064296423. The next prime is 185064296509. The reversal of 185064296481 is 184692460581.

The square root of 185064296481 is 430191.

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

185064296481 is a `hidden beast` number, since 1 + 8 + 506 + 4 + 2 + 96 + 48 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3260981025 + 181803315456 = 57105^2 + 426384^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 185064296481 - 2⁷ = 185064296353 is a prime.

It is a super-2 number, since 2×185064296481² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (185064196481) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1637737081 + ... + 1637737193.

Almost surely, 2^185064296481 is an apocalyptic number.

185064296481 is the 430191-st square number.

185064296481 is the 215096-th centered octagonal number.

It is an amenable number.

185064296481 is a deficient number, since it is larger than the sum of its proper divisors (101081781490).

185064296481 is an frugal number, since it uses more digits than its factorization.

185064296481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 185064296481 in words is "one hundred eighty-five billion, sixty-four million, two hundred ninety-six thousand, four hundred eighty-one".