22325451452000 has 96 divisors (see below), whose sum is σ = 54899319331584. Its totient is φ = 8922743040000.

The previous prime is 22325451451981. The next prime is 22325451452033. The reversal of 22325451452000 is 25415452322.

It is a happy number.

It is a super-3 number, since 3×22325451452000³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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, 2480369 + ... + 7127631.

It is an arithmetic number, because the mean of its divisors is an integer number (571867909704).

Almost surely, 2^{22325451452000} is an apocalyptic number.

22325451452000 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 22325451452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27449659665792).

22325451452000 is an abundant number, since it is smaller than the sum of its proper divisors (32573867879584).

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

22325451452000 is a wasteful number, since it uses less digits than its factorization.

22325451452000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4648489 (or 4648471 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 35.

The spelling of 22325451452000 in words is "twenty-two trillion, three hundred twenty-five billion, four hundred fifty-one million, four hundred fifty-two thousand".