23380388092224 has 560 divisors, whose sum is σ = 74129752070400. Its totient is φ = 7226189376768.

The previous prime is 23380388092211. The next prime is 23380388092267. The reversal of 23380388092224 is 42229088308332.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

23380388092224 is a `hidden beast` number, since 2 + 3 + 38 + 0 + 388 + 0 + 9 + 2 + 224 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 23380388092224 = 3572³ + 28576³ = 16074³ + 26790³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 497455065769 + ... + 497455065815.

Almost surely, 2^{23380388092224} is an apocalyptic number.

23380388092224 is a gapful number since it is divisible by the number (24) 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 23380388092224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37064876035200).

23380388092224 is an abundant number, since it is smaller than the sum of its proper divisors (50749363978176).

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

23380388092224 is an frugal number, since it uses more digits than its factorization.

23380388092224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 23380388092224 in words is "twenty-three trillion, three hundred eighty billion, three hundred eighty-eight million, ninety-two thousand, two hundred twenty-four".