22132625085312 has 256 divisors, whose sum is σ = 68846004864000. Its totient is φ = 6167675289600.

The previous prime is 22132625085287. The next prime is 22132625085317. The reversal of 22132625085312 is 21358052623122.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132625085317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 430997814 + ... + 431049162.

It is an arithmetic number, because the mean of its divisors is an integer number (268929706500).

Almost surely, 2^{22132625085312} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22132625085312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34423002432000).

22132625085312 is an abundant number, since it is smaller than the sum of its proper divisors (46713379778688).

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

22132625085312 is a wasteful number, since it uses less digits than its factorization.

22132625085312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55325 (or 55313 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The spelling of 22132625085312 in words is "twenty-two trillion, one hundred thirty-two billion, six hundred twenty-five million, eighty-five thousand, three hundred twelve".