181798016400 has 1080 divisors, whose sum is σ = 862314433344. Its totient is φ = 34865510400.

The previous prime is 181798016383. The next prime is 181798016417. The reversal of 181798016400 is 4610897181.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (181798016383) and next prime (181798016417).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 25221597 + ... + 25228803.

Almost surely, 2^181798016400 is an apocalyptic number.

181798016400 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 181798016400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431157216672).

181798016400 is an abundant number, since it is smaller than the sum of its proper divisors (680516416944).

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

181798016400 is a wasteful number, since it uses less digits than its factorization.

181798016400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7269 (or 7248 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 181798016400 in words is "one hundred eighty-one billion, seven hundred ninety-eight million, sixteen thousand, four hundred".