22348355384322 has 64 divisors (see below), whose sum is σ = 55499241813120. Its totient is φ = 6607052582400.

The previous prime is 22348355384293. The next prime is 22348355384347.

It is a happy number.

22348355384322 is a `hidden beast` number, since 2 + 2 + 3 + 4 + 8 + 3 + 553 + 84 + 3 + 2 + 2 = 666.

22348355384322 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458798743 + ... + 458847450.

It is an arithmetic number, because the mean of its divisors is an integer number (867175653330).

Almost surely, 2^{22348355384322} is an apocalyptic number.

22348355384322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22348355384322 is an abundant number, since it is smaller than the sum of its proper divisors (33150886428798).

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

22348355384322 is a wasteful number, since it uses less digits than its factorization.

22348355384322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917646256 (or 917646250 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 54.

The spelling of 22348355384322 in words is "twenty-two trillion, three hundred forty-eight billion, three hundred fifty-five million, three hundred eighty-four thousand, three hundred twenty-two".