181100949120 has 1536 divisors, whose sum is σ = 824214182400. Its totient is φ = 36574986240.

The previous prime is 181100949109. The next prime is 181100949121. The reversal of 181100949120 is 21949001181.

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

It is not an unprimeable number, because it can be changed into a prime (181100949121) 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, 3416999014 + ... + 3416999066.

It is an arithmetic number, because the mean of its divisors is an integer number (536597775).

Almost surely, 2^181100949120 is an apocalyptic number.

181100949120 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 181100949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412107091200).

181100949120 is an abundant number, since it is smaller than the sum of its proper divisors (643113233280).

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

181100949120 is a wasteful number, since it uses less digits than its factorization.

181100949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The spelling of 181100949120 in words is "one hundred eighty-one billion, one hundred million, nine hundred forty-nine thousand, one hundred twenty".