3993225198144 has 112 divisors (see below), whose sum is σ = 13003579548288. Its totient is φ = 1053158289408.

The previous prime is 3993225198047. The next prime is 3993225198199. The reversal of 3993225198144 is 4418915223993.

It is a happy number.

3993225198144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×3993225198144² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114257517 + ... + 114292460.

It is an arithmetic number, because the mean of its divisors is an integer number (116103388824).

Almost surely, 2^{3993225198144} is an apocalyptic number.

It is an amenable number.

3993225198144 is an abundant number, since it is smaller than the sum of its proper divisors (9010354350144).

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

3993225198144 is a wasteful number, since it uses less digits than its factorization.

3993225198144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228550012 (or 228550002 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 60.

The spelling of 3993225198144 in words is "three trillion, nine hundred ninety-three billion, two hundred twenty-five million, one hundred ninety-eight thousand, one hundred forty-four".