181145730672 has 320 divisors, whose sum is σ = 557450035200. Its totient is φ = 56121569280.

The previous prime is 181145730653. The next prime is 181145730679. The reversal of 181145730672 is 276037541181.

181145730672 is a `hidden beast` number, since 1 + 8 + 1 + 1 + 4 + 573 + 0 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181145730679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 334834722 + ... + 334835262.

It is an arithmetic number, because the mean of its divisors is an integer number (1742031360).

Almost surely, 2^181145730672 is an apocalyptic number.

181145730672 is a gapful number since it is divisible by the number (12) 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 181145730672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278725017600).

181145730672 is an abundant number, since it is smaller than the sum of its proper divisors (376304304528).

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

181145730672 is a wasteful number, since it uses less digits than its factorization.

181145730672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 181145730672 in words is "one hundred eighty-one billion, one hundred forty-five million, seven hundred thirty thousand, six hundred seventy-two".