9939799188144 has 840 divisors, whose sum is σ = 34202728662048. Its totient is φ = 2788364113920.

The previous prime is 9939799188131. The next prime is 9939799188149. The reversal of 9939799188144 is 4418819979399.

9939799188144 is a `hidden beast` number, since 9 + 9 + 397 + 9 + 9 + 1 + 88 + 144 = 666.

It is a Smith number, since the sum of its digits (81) 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 (81).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (9939799188149) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 16109884924 + ... + 16109885540.

Almost surely, 2^{9939799188144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9939799188144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17101364331024).

9939799188144 is an abundant number, since it is smaller than the sum of its proper divisors (24262929473904).

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

9939799188144 is a wasteful number, since it uses less digits than its factorization.

9939799188144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1097 counting only the distinct ones).

The product of its digits is 1269789696, while the sum is 81.

The spelling of 9939799188144 in words is "nine trillion, nine hundred thirty-nine billion, seven hundred ninety-nine million, one hundred eighty-eight thousand, one hundred forty-four".