22280083691712 has 2688 divisors, whose sum is σ = 86077876469760. Its totient is φ = 4945851187200.

The previous prime is 22280083691711. The next prime is 22280083691741. The reversal of 22280083691712 is 21719638008222.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (22280083691711) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 175433729793 + ... + 175433729919.

It is an arithmetic number, because the mean of its divisors is an integer number (32023019520).

Almost surely, 2^{22280083691712} is an apocalyptic number.

22280083691712 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 22280083691712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43038938234880).

22280083691712 is an abundant number, since it is smaller than the sum of its proper divisors (63797792778048).

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

22280083691712 is a wasteful number, since it uses less digits than its factorization.

22280083691712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 22280083691712 in words is "twenty-two trillion, two hundred eighty billion, eighty-three million, six hundred ninety-one thousand, seven hundred twelve".