22100364000 has 1344 divisors, whose sum is σ = 97451460288. Its totient is φ = 4852224000.

The previous prime is 22100363983. The next prime is 22100364001. The reversal of 22100364000 is 46300122.

It is a happy number.

22100364000 is a `hidden beast` number, since 2 + 21 + 0 + 0 + 3 + 640 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100364001) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 416987974 + ... + 416988026.

It is an arithmetic number, because the mean of its divisors is an integer number (72508527).

Almost surely, 2^22100364000 is an apocalyptic number.

22100364000 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 22100364000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48725730144).

22100364000 is an abundant number, since it is smaller than the sum of its proper divisors (75351096288).

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

22100364000 is a wasteful number, since it uses less digits than its factorization.

22100364000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 22100364000 its reverse (46300122), we get a palindrome (22146664122).

The spelling of 22100364000 in words is "twenty-two billion, one hundred million, three hundred sixty-four thousand".