2338385296896 has 1280 divisors, whose sum is σ = 8481777131520. Its totient is φ = 627330908160.

The previous prime is 2338385296843. The next prime is 2338385296909. The reversal of 2338385296896 is 6986925838332.

2338385296896 is a `hidden beast` number, since 2 + 3 + 3 + 8 + 3 + 8 + 529 + 6 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3983620315 + ... + 3983620901.

It is an arithmetic number, because the mean of its divisors is an integer number (6626388384).

Almost surely, 2^{2338385296896} 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 2338385296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4240888565760).

2338385296896 is an abundant number, since it is smaller than the sum of its proper divisors (6143391834624).

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

2338385296896 is a wasteful number, since it uses less digits than its factorization.

2338385296896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 710 counting only the distinct ones).

The product of its digits is 806215680, while the sum is 72.

The spelling of 2338385296896 in words is "two trillion, three hundred thirty-eight billion, three hundred eighty-five million, two hundred ninety-six thousand, eight hundred ninety-six".