181172167249920 has 2496 divisors, whose sum is σ = 773999960832000. Its totient is φ = 35054231224320.

The previous prime is 181172167249867. The next prime is 181172167249961. The reversal of 181172167249920 is 29942761271181.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 403501485856 + ... + 403501486304.

Almost surely, 2^{181172167249920} is an apocalyptic number.

181172167249920 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 181172167249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386999980416000).

181172167249920 is an abundant number, since it is smaller than the sum of its proper divisors (592827793582080).

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

181172167249920 is a wasteful number, since it uses less digits than its factorization.

181172167249920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 60.

The spelling of 181172167249920 in words is "one hundred eighty-one trillion, one hundred seventy-two billion, one hundred sixty-seven million, two hundred forty-nine thousand, nine hundred twenty".