22464125245050 has 192 divisors, whose sum is σ = 58348079412480. Its totient is φ = 5712314388480.

The previous prime is 22464125245033. The next prime is 22464125245087. The reversal of 22464125245050 is 5054252146422.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 22464125244993 and 22464125245011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 167055442 + ... + 167189858.

It is an arithmetic number, because the mean of its divisors is an integer number (303896246940).

Almost surely, 2^{22464125245050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22464125245050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29174039706240).

22464125245050 is an abundant number, since it is smaller than the sum of its proper divisors (35883954167430).

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

22464125245050 is a wasteful number, since it uses less digits than its factorization.

22464125245050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134937 (or 134932 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 42.

The spelling of 22464125245050 in words is "twenty-two trillion, four hundred sixty-four billion, one hundred twenty-five million, two hundred forty-five thousand, fifty".