39345606144 has 800 divisors, whose sum is σ = 139746055680. Its totient is φ = 10904813568.

The previous prime is 39345606127. The next prime is 39345606149. The reversal of 39345606144 is 44160654393.

39345606144 is a `hidden beast` number, since 3 + 9 + 34 + 5 + 606 + 1 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 39345606144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39345606149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 235602349 + ... + 235602515.

Almost surely, 2^39345606144 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 39345606144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69873027840).

39345606144 is an abundant number, since it is smaller than the sum of its proper divisors (100400449536).

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

39345606144 is a wasteful number, since it uses less digits than its factorization.

39345606144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 39345606144 in words is "thirty-nine billion, three hundred forty-five million, six hundred six thousand, one hundred forty-four".