3999113826048 has 1296 divisors, whose sum is σ = 13906475331840. Its totient is φ = 1102757990400.

The previous prime is 3999113826013. The next prime is 3999113826049. The reversal of 3999113826048 is 8406283119993.

3999113826048 is a `hidden beast` number, since 3 + 9 + 9 + 9 + 1 + 13 + 8 + 2 + 604 + 8 = 666.

It is a super-2 number, since 2×3999113826048² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3999113826049) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67781590243 + ... + 67781590301.

It is an arithmetic number, because the mean of its divisors is an integer number (10730305040).

Almost surely, 2^{3999113826048} 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 3999113826048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6953237665920).

3999113826048 is an abundant number, since it is smaller than the sum of its proper divisors (9907361505792).

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

3999113826048 is a wasteful number, since it uses less digits than its factorization.

3999113826048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 3999113826048 in words is "three trillion, nine hundred ninety-nine billion, one hundred thirteen million, eight hundred twenty-six thousand, forty-eight".