73223386368 has 144 divisors (see below), whose sum is σ = 213539590656. Its totient is φ = 22090577920.

The previous prime is 73223386349. The next prime is 73223386381. The reversal of 73223386368 is 86368332237.

It is a happy number.

It is a super-2 number, since 2×73223386368² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 73223386368.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1898605 + ... + 1936787.

It is an arithmetic number, because the mean of its divisors is an integer number (1482913824).

Almost surely, 2^73223386368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73223386368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106769795328).

73223386368 is an abundant number, since it is smaller than the sum of its proper divisors (140316204288).

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

73223386368 is a wasteful number, since it uses less digits than its factorization.

73223386368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38440 (or 38426 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 51.

It can be divided in two parts, 7322338 and 6368, that added together give a triangular number (7328706 = T₃₈₂₈).

The spelling of 73223386368 in words is "seventy-three billion, two hundred twenty-three million, three hundred eighty-six thousand, three hundred sixty-eight".