22231191896928 has 1536 divisors, whose sum is σ = 82618195968000. Its totient is φ = 5675977359360.

The previous prime is 22231191896909. The next prime is 22231191896941. The reversal of 22231191896928 is 82969819113222.

22231191896928 is a `hidden beast` number, since 222 + 311 + 9 + 1 + 8 + 9 + 6 + 92 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22989856701 + ... + 22989857667.

It is an arithmetic number, because the mean of its divisors is an integer number (53787888000).

Almost surely, 2^{22231191896928} is an apocalyptic number.

22231191896928 is a gapful number since it is divisible by the number (28) 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 22231191896928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41309097984000).

22231191896928 is an abundant number, since it is smaller than the sum of its proper divisors (60387004071072).

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

22231191896928 is a wasteful number, since it uses less digits than its factorization.

22231191896928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1211 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 22231191896928 in words is "twenty-two trillion, two hundred thirty-one billion, one hundred ninety-one million, eight hundred ninety-six thousand, nine hundred twenty-eight".