738768940339416 has 256 divisors, whose sum is σ = 2199944765952000. Its totient is φ = 206560207945728.

The previous prime is 738768940339357. The next prime is 738768940339447. The reversal of 738768940339416 is 614933049867837.

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, 3231694816 + ... + 3231923408.

It is an arithmetic number, because the mean of its divisors is an integer number (8593534242000).

Almost surely, 2^{738768940339416} 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 738768940339416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099972382976000).

738768940339416 is an abundant number, since it is smaller than the sum of its proper divisors (1461175825612584).

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

738768940339416 is a wasteful number, since it uses less digits than its factorization.

738768940339416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237023 (or 237005 counting only the distinct ones).

The product of its (nonzero) digits is 3950456832, while the sum is 78.

The spelling of 738768940339416 in words is "seven hundred thirty-eight trillion, seven hundred sixty-eight billion, nine hundred forty million, three hundred thirty-nine thousand, four hundred sixteen".