181143180400 has 1440 divisors, whose sum is σ = 636079288320. Its totient is φ = 48771072000.

The previous prime is 181143180389. The next prime is 181143180403. The reversal of 181143180400 is 4081341181.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181143180403) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2551312365 + ... + 2551312435.

It is an arithmetic number, because the mean of its divisors is an integer number (441721728).

Almost surely, 2^181143180400 is an apocalyptic number.

181143180400 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 181143180400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318039644160).

181143180400 is an abundant number, since it is smaller than the sum of its proper divisors (454936107920).

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

181143180400 is a wasteful number, since it uses less digits than its factorization.

181143180400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 31.

The spelling of 181143180400 in words is "one hundred eighty-one billion, one hundred forty-three million, one hundred eighty thousand, four hundred".