23338334126016 has 2688 divisors, whose sum is σ = 93699355115520. Its totient is φ = 5629226803200.

The previous prime is 23338334125927. The next prime is 23338334126021. The reversal of 23338334126016 is 61062143383332.

23338334126016 is a `hidden beast` number, since 2 + 3 + 3 + 3 + 8 + 3 + 34 + 1 + 2 + 601 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 102812044495 + ... + 102812044721.

It is an arithmetic number, because the mean of its divisors is an integer number (34858391040).

Almost surely, 2^{23338334126016} is an apocalyptic number.

23338334126016 is a gapful number since it is divisible by the number (26) 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 23338334126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46849677557760).

23338334126016 is an abundant number, since it is smaller than the sum of its proper divisors (70361020989504).

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

23338334126016 is a wasteful number, since it uses less digits than its factorization.

23338334126016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 45.

The spelling of 23338334126016 in words is "twenty-three trillion, three hundred thirty-eight billion, three hundred thirty-four million, one hundred twenty-six thousand, sixteen".