22504145513000 has 128 divisors (see below), whose sum is σ = 54101403532800. Its totient is φ = 8755379424000.

The previous prime is 22504145512991. The next prime is 22504145513021. The reversal of 22504145513000 is 31554140522.

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 31 ways as a sum of consecutive naturals, for example, 109824641 + ... + 110029359.

It is an arithmetic number, because the mean of its divisors is an integer number (422667215100).

Almost surely, 2^{22504145513000} is an apocalyptic number.

22504145513000 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 22504145513000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27050701766400).

22504145513000 is an abundant number, since it is smaller than the sum of its proper divisors (31597258019800).

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

22504145513000 is a wasteful number, since it uses less digits than its factorization.

22504145513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207748 (or 207734 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 32.

Adding to 22504145513000 its reverse (31554140522), we get a palindrome (22535699653522).

The spelling of 22504145513000 in words is "twenty-two trillion, five hundred four billion, one hundred forty-five million, five hundred thirteen thousand".