181266478498576 has 135 divisors (see below), whose sum is σ = 376280200840629. Its totient is φ = 84575919020544.

The previous prime is 181266478498549. The next prime is 181266478498603. The reversal of 181266478498576 is 675894874662181.

The square root of 181266478498576 is 13463524.

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

It is an interprime number because it is at equal distance from previous prime (181266478498549) and next prime (181266478498603).

It can be written as a sum of positive squares in only one way, i.e., 141124420976400 + 40142057522176 = 11879580^2 + 6335776^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 181266478498576.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 116270992485 + ... + 116270994043.

Almost surely, 2^{181266478498576} is an apocalyptic number.

181266478498576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

181266478498576 is the 13463524-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181266478498576

181266478498576 is an abundant number, since it is smaller than the sum of its proper divisors (195013722342053).

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

181266478498576 is an frugal number, since it uses more digits than its factorization.

181266478498576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 1705 counting only the distinct ones).

The product of its digits is 7803371520, while the sum is 82.

The spelling of 181266478498576 in words is "one hundred eighty-one trillion, two hundred sixty-six billion, four hundred seventy-eight million, four hundred ninety-eight thousand, five hundred seventy-six".