181038412800 has 2112 divisors, whose sum is σ = 842140385280. Its totient is φ = 37158912000.

The previous prime is 181038412757. The next prime is 181038412801. The reversal of 181038412800 is 8214830181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181038412801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2549836765 + ... + 2549836835.

Almost surely, 2^181038412800 is an apocalyptic number.

181038412800 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 181038412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421070192640).

181038412800 is an abundant number, since it is smaller than the sum of its proper divisors (661101972480).

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

181038412800 is a wasteful number, since it uses less digits than its factorization.

181038412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The spelling of 181038412800 in words is "one hundred eighty-one billion, thirty-eight million, four hundred twelve thousand, eight hundred".