22968351900 has 360 divisors, whose sum is σ = 81562644240. Its totient is φ = 5556418560.

The previous prime is 22968351881. The next prime is 22968351907. The reversal of 22968351900 is 915386922.

22968351900 is a `hidden beast` number, since 2 + 296 + 8 + 351 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×22968351900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22968351907) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6210852 + ... + 6214548.

Almost surely, 2^22968351900 is an apocalyptic number.

22968351900 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 22968351900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40781322120).

22968351900 is an abundant number, since it is smaller than the sum of its proper divisors (58594292340).

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

22968351900 is a wasteful number, since it uses less digits than its factorization.

22968351900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3795 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 22968351900 in words is "twenty-two billion, nine hundred sixty-eight million, three hundred fifty-one thousand, nine hundred".