22134146326200 has 576 divisors, whose sum is σ = 80805582873600. Its totient is φ = 5409035366400.

The previous prime is 22134146326151. The next prime is 22134146326207. The reversal of 22134146326200 is 262364143122.

22134146326200 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 4 + 14 + 632 + 6 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134146326207) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4752874272 + ... + 4752878928.

Almost surely, 2^{22134146326200} is an apocalyptic number.

22134146326200 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 22134146326200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40402791436800).

22134146326200 is an abundant number, since it is smaller than the sum of its proper divisors (58671436547400).

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

22134146326200 is a wasteful number, since it uses less digits than its factorization.

22134146326200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9212 (or 9200 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 22134146326200 in words is "twenty-two trillion, one hundred thirty-four billion, one hundred forty-six million, three hundred twenty-six thousand, two hundred".