22134616160 has 192 divisors, whose sum is σ = 55107972864. Its totient is φ = 8393932800.

The previous prime is 22134616139. The next prime is 22134616193. The reversal of 22134616160 is 6161643122.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33486230 + ... + 33486890.

It is an arithmetic number, because the mean of its divisors is an integer number (287020692).

Almost surely, 2^22134616160 is an apocalyptic number.

22134616160 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 22134616160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27553986432).

22134616160 is an abundant number, since it is smaller than the sum of its proper divisors (32973356704).

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

22134616160 is a wasteful number, since it uses less digits than its factorization.

22134616160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 22134616160 in words is "twenty-two billion, one hundred thirty-four million, six hundred sixteen thousand, one hundred sixty".