65123038396416 has 1728 divisors, whose sum is σ = 238978786233600. Its totient is φ = 15438478049280.

The previous prime is 65123038396357. The next prime is 65123038396447. The reversal of 65123038396416 is 61469383032156.

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, 731719532500 + ... + 731719532588.

It is an arithmetic number, because the mean of its divisors is an integer number (138297908700).

Almost surely, 2^{65123038396416} is an apocalyptic number.

65123038396416 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65123038396416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119489393116800).

65123038396416 is an abundant number, since it is smaller than the sum of its proper divisors (173855747837184).

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

65123038396416 is an frugal number, since it uses more digits than its factorization.

65123038396416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 57.

The spelling of 65123038396416 in words is "sixty-five trillion, one hundred twenty-three billion, thirty-eight million, three hundred ninety-six thousand, four hundred sixteen".