3138945768816 has 640 divisors, whose sum is σ = 10155286020096. Its totient is φ = 821899837440.

The previous prime is 3138945768731. The next prime is 3138945768853. The reversal of 3138945768816 is 6188675498313.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1766428920 + ... + 1766430696.

Almost surely, 2^{3138945768816} 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 3138945768816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5077643010048).

3138945768816 is an abundant number, since it is smaller than the sum of its proper divisors (7016340251280).

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

3138945768816 is a wasteful number, since it uses less digits than its factorization.

3138945768816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2069 (or 2063 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 69.

The spelling of 3138945768816 in words is "three trillion, one hundred thirty-eight billion, nine hundred forty-five million, seven hundred sixty-eight thousand, eight hundred sixteen".