181803315456 has 729 divisors, whose sum is σ = 646943787399. Its totient is φ = 50838617088.

The previous prime is 181803315443. The next prime is 181803315479. The reversal of 181803315456 is 654513308181.

The square root of 181803315456 is 426384.

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

181803315456 is a `hidden beast` number, since 1 + 8 + 180 + 3 + 3 + 15 + 456 = 666.

It is a tau number, because it is divible by the number of its divisors (729).

It is a super-3 number, since 3×181803315456³ (a number of 35 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3868155625 + ... + 3868155671.

Almost surely, 2^181803315456 is an apocalyptic number.

181803315456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

181803315456 is the 426384-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181803315456

181803315456 is an abundant number, since it is smaller than the sum of its proper divisors (465140471943).

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

181803315456 is an frugal number, since it uses more digits than its factorization.

181803315456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 181803315456 in words is "one hundred eighty-one billion, eight hundred three million, three hundred fifteen thousand, four hundred fifty-six".