184864785057001 has 27 divisors (see below), whose sum is σ = 216979324193541. Its totient is φ = 157044131873664.

The previous prime is 184864785056993. The next prime is 184864785057011. The reversal of 184864785057001 is 100750587468481.

The square root of 184864785057001 is 13596499.

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 2962271265625 + 181902513791376 = 1721125^2 + 13487124^2 .

It is not a de Polignac number, because 184864785057001 - 2³ = 184864785056993 is a prime.

It is a super-2 number, since 2×184864785057001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (184864785057011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 10754822115 + ... + 10754839303.

Almost surely, 2^{184864785057001} is an apocalyptic number.

184864785057001 is the 13596499-th square number.

184864785057001 is the 6798250-th centered octagonal number.

It is an amenable number.

184864785057001 is a deficient number, since it is larger than the sum of its proper divisors (32114539136540).

184864785057001 is an frugal number, since it uses more digits than its factorization.

184864785057001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34618 (or 17309 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 64.

The spelling of 184864785057001 in words is "one hundred eighty-four trillion, eight hundred sixty-four billion, seven hundred eighty-five million, fifty-seven thousand, one".