185050015749481 has 27 divisors (see below), whose sum is σ = 192004301342511. Its totient is φ = 178343951701824.

The previous prime is 185050015749449. The next prime is 185050015749491. The reversal of 185050015749481 is 184947510050581.

It is a happy number.

The square root of 185050015749481 is 13603309.

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

It can be written as a sum of positive squares in 13 ways, for example, as 51254989429081 + 133795026320400 = 7159259^2 + 11566980^2 .

It is not a de Polignac number, because 185050015749481 - 2⁵ = 185050015749449 is a prime.

It is a super-2 number, since 2×185050015749481² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (185050015749421) 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, 54862143511 + ... + 54862146883.

It is an arithmetic number, because the mean of its divisors is an integer number (7111270420093).

Almost surely, 2^{185050015749481} is an apocalyptic number.

185050015749481 is the 13603309-th square number.

185050015749481 is the 6801655-th centered octagonal number.

It is an amenable number.

185050015749481 is a deficient number, since it is larger than the sum of its proper divisors (6954285593030).

185050015749481 is an frugal number, since it uses more digits than its factorization.

185050015749481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7038 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 58.

The spelling of 185050015749481 in words is "one hundred eighty-five trillion, fifty billion, fifteen million, seven hundred forty-nine thousand, four hundred eighty-one".