181006228800 has 252 divisors, whose sum is σ = 667167673536. Its totient is φ = 48268224000.

The previous prime is 181006228787. The next prime is 181006228811. The reversal of 181006228800 is 8822600181.

181006228800 is a `hidden beast` number, since 18 + 10 + 0 + 622 + 8 + 8 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 156025 + ... + 621575.

It is an arithmetic number, because the mean of its divisors is an integer number (2647490768).

Almost surely, 2^181006228800 is an apocalyptic number.

181006228800 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 181006228800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333583836768).

181006228800 is an abundant number, since it is smaller than the sum of its proper divisors (486161444736).

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

181006228800 is an equidigital number, since it uses as much as digits as its factorization.

181006228800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465588 (or 465561 counting only the distinct ones).

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

Adding to 181006228800 its reverse (8822600181), we get a palindrome (189828828981).

The spelling of 181006228800 in words is "one hundred eighty-one billion, six million, two hundred twenty-eight thousand, eight hundred".