22134651000 has 768 divisors, whose sum is σ = 89870376960. Its totient is φ = 4435200000.

The previous prime is 22134650999. The next prime is 22134651001. The reversal of 22134651000 is 15643122.

It is an interprime number because it is at equal distance from previous prime (22134650999) and next prime (22134651001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22134651001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 78770860 + ... + 78771140.

It is an arithmetic number, because the mean of its divisors is an integer number (117018720).

Almost surely, 2^22134651000 is an apocalyptic number.

22134651000 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 22134651000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44935188480).

22134651000 is an abundant number, since it is smaller than the sum of its proper divisors (67735725960).

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

22134651000 is a wasteful number, since it uses less digits than its factorization.

22134651000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 22134651000 in words is "twenty-two billion, one hundred thirty-four million, six hundred fifty-one thousand".