39149148319008 has 384 divisors, whose sum is σ = 129150675763200. Its totient is φ = 10318046376960.

The previous prime is 39149148319003. The next prime is 39149148319019. The reversal of 39149148319008 is 80091384194193.

It is not an unprimeable number, because it can be changed into a prime (39149148319003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 646774441 + ... + 646834967.

It is an arithmetic number, because the mean of its divisors is an integer number (336329884800).

Almost surely, 2^{39149148319008} 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 39149148319008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64575337881600).

39149148319008 is an abundant number, since it is smaller than the sum of its proper divisors (90001527444192).

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

39149148319008 is a wasteful number, since it uses less digits than its factorization.

39149148319008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62085 (or 62063 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 60.

The spelling of 39149148319008 in words is "thirty-nine trillion, one hundred forty-nine billion, one hundred forty-eight million, three hundred nineteen thousand, eight".