181093072896 has 272 divisors, whose sum is σ = 546975011520. Its totient is φ = 59194736640.

The previous prime is 181093072889. The next prime is 181093072913. The reversal of 181093072896 is 698270390181.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 93781051 + ... + 93782981.

Almost surely, 2^181093072896 is an apocalyptic number.

181093072896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 181093072896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273487505760).

181093072896 is an abundant number, since it is smaller than the sum of its proper divisors (365881938624).

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

181093072896 is an frugal number, since it uses more digits than its factorization.

181093072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2025 (or 1989 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 181093072896 in words is "one hundred eighty-one billion, ninety-three million, seventy-two thousand, eight hundred ninety-six".