22220813346732 has 864 divisors, whose sum is σ = 79732388945664. Its totient is φ = 5319203904000.

The previous prime is 22220813346731. The next prime is 22220813346737. The reversal of 22220813346732 is 23764331802222.

22220813346732 is a `hidden beast` number, since 2 + 2 + 2 + 20 + 8 + 133 + 467 + 32 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (22220813346731) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 4992317107 + ... + 4992321557.

It is an arithmetic number, because the mean of its divisors is an integer number (92282857576).

Almost surely, 2^{22220813346732} is an apocalyptic number.

22220813346732 is a gapful number since it is divisible by the number (22) 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 22220813346732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39866194472832).

22220813346732 is an abundant number, since it is smaller than the sum of its proper divisors (57511575598932).

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

22220813346732 is a wasteful number, since it uses less digits than its factorization.

22220813346732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5241 (or 5220 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 22220813346732 in words is "twenty-two trillion, two hundred twenty billion, eight hundred thirteen million, three hundred forty-six thousand, seven hundred thirty-two".