3139896248064 has 576 divisors, whose sum is σ = 10015429939200. Its totient is φ = 968067072000.

The previous prime is 3139896247973. The next prime is 3139896248077. The reversal of 3139896248064 is 4608426989313.

3139896248064 is a `hidden beast` number, since 3 + 1 + 3 + 9 + 8 + 96 + 2 + 480 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 3139896247992 and 3139896248010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 627600187 + ... + 627605189.

It is an arithmetic number, because the mean of its divisors is an integer number (17387899200).

Almost surely, 2^{3139896248064} 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 3139896248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5007714969600).

3139896248064 is an abundant number, since it is smaller than the sum of its proper divisors (6875533691136).

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

3139896248064 is a wasteful number, since it uses less digits than its factorization.

3139896248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5189 (or 5169 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 3139896248064 in words is "three trillion, one hundred thirty-nine billion, eight hundred ninety-six million, two hundred forty-eight thousand, sixty-four".