185817465094144 has 123 divisors (see below), whose sum is σ = 402421255765833. Its totient is φ = 85761906966528.

The previous prime is 185817465094097. The next prime is 185817465094193. The reversal of 185817465094144 is 441490564718581.

The square root of 185817465094144 is 13631488.

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., 27487790694400 + 158329674399744 = 5242880^2 + 12582912^2 .

It is a Duffinian number.

It is a nialpdrome in base 4, base 8 and base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 185817465094144.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 14293651161082 + ... + 14293651161094.

Almost surely, 2^{185817465094144} is an apocalyptic number.

185817465094144 is the 13631488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 185817465094144

185817465094144 is an abundant number, since it is smaller than the sum of its proper divisors (216603790671689).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

185817465094144 is an frugal number, since it uses more digits than its factorization.

185817465094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 15 counting only the distinct ones).

The product of its (nonzero) digits is 154828800, while the sum is 67.

The spelling of 185817465094144 in words is "one hundred eighty-five trillion, eight hundred seventeen billion, four hundred sixty-five million, ninety-four thousand, one hundred forty-four".