22394465280 has 440 divisors, whose sum is σ = 87562308240. Its totient is φ = 5427855360.

The previous prime is 22394465251. The next prime is 22394465299. The reversal of 22394465280 is 8256449322.

22394465280 is a `hidden beast` number, since 2 + 23 + 94 + 465 + 2 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 4559466 + ... + 4564374.

It is an arithmetic number, because the mean of its divisors is an integer number (199005246).

Almost surely, 2^22394465280 is an apocalyptic number.

22394465280 is a gapful number since it is divisible by the number (20) 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 22394465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43781154120).

22394465280 is an abundant number, since it is smaller than the sum of its proper divisors (65167842960).

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

22394465280 is a wasteful number, since it uses less digits than its factorization.

22394465280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 22394465280 in words is "twenty-two billion, three hundred ninety-four million, four hundred sixty-five thousand, two hundred eighty".