181490289120 has 1152 divisors, whose sum is σ = 812507673600. Its totient is φ = 36954537984.

The previous prime is 181490289119. The next prime is 181490289121. The reversal of 181490289120 is 21982094181.

181490289120 is a `hidden beast` number, since 1 + 81 + 490 + 2 + 89 + 1 + 2 + 0 = 666.

181490289120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (181490289119) and next prime (181490289121).

It is a super-2 number, since 2×181490289120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181490289121) 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, 166047294 + ... + 166048386.

It is an arithmetic number, because the mean of its divisors is an integer number (705301800).

Almost surely, 2^181490289120 is an apocalyptic number.

181490289120 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 181490289120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406253836800).

181490289120 is an abundant number, since it is smaller than the sum of its proper divisors (631017384480).

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

181490289120 is a wasteful number, since it uses less digits than its factorization.

181490289120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1177 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 181490289120 in words is "one hundred eighty-one billion, four hundred ninety million, two hundred eighty-nine thousand, one hundred twenty".