22425052400464 has 80 divisors (see below), whose sum is σ = 50065639344000. Its totient is φ = 9531483604992.

The previous prime is 22425052400461. The next prime is 22425052400473. The reversal of 22425052400464 is 46400425052422.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22425052400461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15399247 + ... + 16792465.

It is an arithmetic number, because the mean of its divisors is an integer number (625820491800).

Almost surely, 2^{22425052400464} 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 22425052400464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25032819672000).

22425052400464 is an abundant number, since it is smaller than the sum of its proper divisors (27640586943536).

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

22425052400464 is a wasteful number, since it uses less digits than its factorization.

22425052400464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1394420 (or 1394414 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 40.

Adding to 22425052400464 its reverse (46400425052422), we get a palindrome (68825477452886).

The spelling of 22425052400464 in words is "twenty-two trillion, four hundred twenty-five billion, fifty-two million, four hundred thousand, four hundred sixty-four".