39144963312 has 960 divisors, whose sum is σ = 149473099776. Its totient is φ = 9640995840.

The previous prime is 39144963311. The next prime is 39144963329. The reversal of 39144963312 is 21336944193.

It is a happy number.

39144963312 is a `hidden beast` number, since 3 + 9 + 1 + 4 + 4 + 9 + 633 + 1 + 2 = 666.

39144963312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39144963311) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 471626023 + ... + 471626105.

Almost surely, 2^39144963312 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 39144963312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74736549888).

39144963312 is an abundant number, since it is smaller than the sum of its proper divisors (110328136464).

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

39144963312 is a wasteful number, since it uses less digits than its factorization.

39144963312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 182 counting only the distinct ones).

The product of its digits is 419904, while the sum is 45.

The spelling of 39144963312 in words is "thirty-nine billion, one hundred forty-four million, nine hundred sixty-three thousand, three hundred twelve".