3152689142064 has 480 divisors, whose sum is σ = 10695327455232. Its totient is φ = 790497792000.

The previous prime is 3152689142027. The next prime is 3152689142089. The reversal of 3152689142064 is 4602419862513.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3152689141998 and 3152689142016.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337650804 + ... + 337660140.

Almost surely, 2^{3152689142064} 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 3152689142064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5347663727616).

3152689142064 is an abundant number, since it is smaller than the sum of its proper divisors (7542638313168).

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

3152689142064 is a wasteful number, since it uses less digits than its factorization.

3152689142064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9825 (or 9812 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 3152689142064 in words is "three trillion, one hundred fifty-two billion, six hundred eighty-nine million, one hundred forty-two thousand, sixty-four".