181988868096 has 240 divisors, whose sum is σ = 616250279680. Its totient is φ = 51995934720.

The previous prime is 181988868091. The next prime is 181988868097. The reversal of 181988868096 is 690868889181.

It is a happy number.

It is a super-2 number, since 2×181988868096² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (181988868091) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3067191 + ... + 3125961.

Almost surely, 2^181988868096 is an apocalyptic number.

181988868096 is a gapful number since it is divisible by the number (16) 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 181988868096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308125139840).

181988868096 is an abundant number, since it is smaller than the sum of its proper divisors (434261411584).

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

181988868096 is an frugal number, since it uses more digits than its factorization.

181988868096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58815 (or 58783 counting only the distinct ones).

The product of its (nonzero) digits is 95551488, while the sum is 72.

The spelling of 181988868096 in words is "one hundred eighty-one billion, nine hundred eighty-eight million, eight hundred sixty-eight thousand, ninety-six".