13222223784 has 256 divisors, whose sum is σ = 46440345600. Its totient is φ = 3385670400.

The previous prime is 13222223761. The next prime is 13222223789. The reversal of 13222223784 is 48732222231.

13222223784 is a `hidden beast` number, since 1 + 322 + 22 + 237 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13222223789) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1175274 + ... + 1186470.

It is an arithmetic number, because the mean of its divisors is an integer number (181407600).

Almost surely, 2^13222223784 is an apocalyptic number.

13222223784 is a gapful number since it is divisible by the number (14) 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 13222223784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23220172800).

13222223784 is an abundant number, since it is smaller than the sum of its proper divisors (33218121816).

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

13222223784 is a wasteful number, since it uses less digits than its factorization.

13222223784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11301 (or 11291 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

It can be divided in two parts, 1322222 and 3784, that added together give a triangular number (1326006 = T₁₆₂₈).

The spelling of 13222223784 in words is "thirteen billion, two hundred twenty-two million, two hundred twenty-three thousand, seven hundred eighty-four".