185236412881 has 9 divisors (see below), whose sum is σ = 200587499931. Its totient is φ = 170982293352.

The previous prime is 185236412839. The next prime is 185236412923. The reversal of 185236412881 is 188214632581.

The square root of 185236412881 is 430391.

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

185236412881 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (185236412839) and next prime (185236412923).

It can be written as a sum of positive squares in only one way, i.e., 27401836225 + 157834576656 = 165535^2 + 397284^2 .

It is not a de Polignac number, because 185236412881 - 2⁹ = 185236412369 is a prime.

It is a super-2 number, since 2×185236412881² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (185236412381) 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 8 ways as a sum of consecutive naturals, for example, 5578530 + ... + 5611636.

Almost surely, 2^185236412881 is an apocalyptic number.

185236412881 is the 430391-st square number.

185236412881 is the 215196-th centered octagonal number.

It is an amenable number.

185236412881 is a deficient number, since it is larger than the sum of its proper divisors (15351087050).

185236412881 is an frugal number, since it uses more digits than its factorization.

185236412881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66240 (or 33120 counting only the distinct ones).

The product of its digits is 737280, while the sum is 49.

Multiplying 185236412881 by its sum of digits (49), we get a square (9076584231169 = 3012737²).

The spelling of 185236412881 in words is "one hundred eighty-five billion, two hundred thirty-six million, four hundred twelve thousand, eight hundred eighty-one".