181253499073920 has 1728 divisors, whose sum is σ = 822811366110240. Its totient is φ = 35992546836480.

The previous prime is 181253499073919. The next prime is 181253499073961. The reversal of 181253499073920 is 29370994352181.

181253499073920 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 53 + 499 + 0 + 7 + 3 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1969223100 + ... + 1969315140.

Almost surely, 2^{181253499073920} is an apocalyptic number.

181253499073920 is a gapful number since it is divisible by the number (10) 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 181253499073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (411405683055120).

181253499073920 is an abundant number, since it is smaller than the sum of its proper divisors (641557867036320).

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

181253499073920 is a wasteful number, since it uses less digits than its factorization.

181253499073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92133 (or 92088 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 181253499073920 in words is "one hundred eighty-one trillion, two hundred fifty-three billion, four hundred ninety-nine million, seventy-three thousand, nine hundred twenty".