22134268714320 has 600 divisors, whose sum is σ = 94133406549600. Its totient is φ = 4792983197184.

The previous prime is 22134268714319. The next prime is 22134268714321. The reversal of 22134268714320 is 2341786243122.

22134268714320 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 426 + 87 + 143 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22134268714319) and next prime (22134268714321).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134268714321) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4198411 + ... + 7867349.

It is an arithmetic number, because the mean of its divisors is an integer number (156889010916).

Almost surely, 2^{22134268714320} is an apocalyptic number.

22134268714320 is a gapful number since it is divisible by the number (20) 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 22134268714320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47066703274800).

22134268714320 is an abundant number, since it is smaller than the sum of its proper divisors (71999137835280).

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

22134268714320 is a wasteful number, since it uses less digits than its factorization.

22134268714320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3668997 (or 3668975 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 22134268714320 in words is "twenty-two trillion, one hundred thirty-four billion, two hundred sixty-eight million, seven hundred fourteen thousand, three hundred twenty".