185787722961 has 9 divisors (see below), whose sum is σ = 268361912091. Its totient is φ = 123857619912.

The previous prime is 185787722951. The next prime is 185787722987. The reversal of 185787722961 is 169227787581.

The square root of 185787722961 is 431031.

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

It can be written as a sum of positive squares in only one way, i.e., 185601564225 + 186158736 = 430815^2 + 13644^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 185787722961 - 2¹³ = 185787714769 is a prime.

It is not an unprimeable number, because it can be changed into a prime (185787722951) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1221255 + ... + 1364931.

Almost surely, 2^185787722961 is an apocalyptic number.

185787722961 is the 431031-st square number.

185787722961 is the 215516-th centered octagonal number.

It is an amenable number.

185787722961 is a deficient number, since it is larger than the sum of its proper divisors (82574189130).

185787722961 is an frugal number, since it uses more digits than its factorization.

185787722961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287360 (or 143680 counting only the distinct ones).

The product of its digits is 23708160, while the sum is 63.

The spelling of 185787722961 in words is "one hundred eighty-five billion, seven hundred eighty-seven million, seven hundred twenty-two thousand, nine hundred sixty-one".