181800494874000 has 1600 divisors, whose sum is σ = 679591752153600. Its totient is φ = 46825006694400.

The previous prime is 181800494873909. The next prime is 181800494874013. The reversal of 181800494874000 is 478494008181.

181800494874000 is a `hidden beast` number, since 1 + 8 + 1 + 80 + 0 + 49 + 487 + 40 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 157676057424 + ... + 157676058576.

It is an arithmetic number, because the mean of its divisors is an integer number (424744845096).

Almost surely, 2^{181800494874000} is an apocalyptic number.

181800494874000 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 181800494874000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339795876076800).

181800494874000 is an abundant number, since it is smaller than the sum of its proper divisors (497791257279600).

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

181800494874000 is a wasteful number, since it uses less digits than its factorization.

181800494874000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 181800494874000 in words is "one hundred eighty-one trillion, eight hundred billion, four hundred ninety-four million, eight hundred seventy-four thousand".