22401004500000 has 504 divisors, whose sum is σ = 91003043896128. Its totient is φ = 5120222400000.

The previous prime is 22401004499983. The next prime is 22401004500013. The reversal of 22401004500000 is 540010422.

22401004500000 is a `hidden beast` number, since 22 + 40 + 100 + 4 + 500 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 31144429 + ... + 31855571.

It is an arithmetic number, because the mean of its divisors is an integer number (180561595032).

Almost surely, 2^{22401004500000} is an apocalyptic number.

22401004500000 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 22401004500000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45501521948064).

22401004500000 is an abundant number, since it is smaller than the sum of its proper divisors (68602039396128).

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

22401004500000 is an frugal number, since it uses more digits than its factorization.

22401004500000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 711196 (or 711160 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 22401004500000 its reverse (540010422), we get a palindrome (22401544510422).

The spelling of 22401004500000 in words is "twenty-two trillion, four hundred one billion, four million, five hundred thousand".