22234174921728 has 2640 divisors, whose sum is σ = 88737034180608. Its totient is φ = 5476294656000.

The previous prime is 22234174921723. The next prime is 22234174921817. The reversal of 22234174921728 is 82712947143222.

22234174921728 is a `hidden beast` number, since 2 + 2 + 2 + 3 + 417 + 4 + 9 + 217 + 2 + 8 = 666.

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

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

Its product of digits (5419008) is a multiple of the sum of its prime divisors (378).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22234174921723) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 84540588925 + ... + 84540589187.

Almost surely, 2^{22234174921728} is an apocalyptic number.

22234174921728 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 22234174921728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44368517090304).

22234174921728 is an abundant number, since it is smaller than the sum of its proper divisors (66502859258880).

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

22234174921728 is a wasteful number, since it uses less digits than its factorization.

22234174921728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 378 counting only the distinct ones).

The product of its digits is 5419008, while the sum is 54.

The spelling of 22234174921728 in words is "twenty-two trillion, two hundred thirty-four billion, one hundred seventy-four million, nine hundred twenty-one thousand, seven hundred twenty-eight".