22067513664 has 224 divisors, whose sum is σ = 67892858880. Its totient is φ = 6195750912.

The previous prime is 22067513639. The next prime is 22067513669. The reversal of 22067513664 is 46631576022.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22067513669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32595694 + ... + 32596370.

It is an arithmetic number, because the mean of its divisors is an integer number (303093120).

Almost surely, 2^22067513664 is an apocalyptic number.

22067513664 is a gapful number since it is divisible by the number (24) 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 22067513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33946429440).

22067513664 is an abundant number, since it is smaller than the sum of its proper divisors (45825345216).

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

22067513664 is a wasteful number, since it uses less digits than its factorization.

22067513664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1085 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The spelling of 22067513664 in words is "twenty-two billion, sixty-seven million, five hundred thirteen thousand, six hundred sixty-four".