22314425001000 has 256 divisors, whose sum is σ = 76702181886720. Its totient is φ = 5355996800000.

The previous prime is 22314425000971. The next prime is 22314425001007. The reversal of 22314425001000 is 10052441322.

It is a super-3 number, since 3×22314425001000³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (22314425001007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14499 + ... + 6680498.

It is an arithmetic number, because the mean of its divisors is an integer number (299617897995).

Almost surely, 2^{22314425001000} is an apocalyptic number.

22314425001000 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 22314425001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38351090943360).

22314425001000 is an abundant number, since it is smaller than the sum of its proper divisors (54387756885720).

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

22314425001000 is a wasteful number, since it uses less digits than its factorization.

22314425001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6695133 (or 6695119 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 22314425001000 its reverse (10052441322), we get a palindrome (22324477442322).

The spelling of 22314425001000 in words is "twenty-two trillion, three hundred fourteen billion, four hundred twenty-five million, one thousand".