22355203340904 has 256 divisors, whose sum is σ = 67581532569600. Its totient is φ = 6024302076672.

The previous prime is 22355203340867. The next prime is 22355203340941. The reversal of 22355203340904 is 40904330255322.

It is an interprime number because it is at equal distance from previous prime (22355203340867) and next prime (22355203340941).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 167665737 + ... + 167799015.

It is an arithmetic number, because the mean of its divisors is an integer number (263990361600).

Almost surely, 2^{22355203340904} is an apocalyptic number.

22355203340904 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 22355203340904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33790766284800).

22355203340904 is an abundant number, since it is smaller than the sum of its proper divisors (45226329228696).

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

22355203340904 is a wasteful number, since it uses less digits than its factorization.

22355203340904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133924 (or 133920 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 22355203340904 in words is "twenty-two trillion, three hundred fifty-five billion, two hundred three million, three hundred forty thousand, nine hundred four".