13798222909296 has 480 divisors, whose sum is σ = 45562069555200. Its totient is φ = 3573735137280.

The previous prime is 13798222909291. The next prime is 13798222909337. The reversal of 13798222909296 is 69290922289731.

It is a self number, because there is not a number n which added to its sum of digits gives 13798222909296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13798222909291) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123238236 + ... + 123350148.

It is an arithmetic number, because the mean of its divisors is an integer number (94920978240).

Almost surely, 2^{13798222909296} is an apocalyptic number.

13798222909296 is a gapful number since it is divisible by the number (16) 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 13798222909296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22781034777600).

13798222909296 is an abundant number, since it is smaller than the sum of its proper divisors (31763846645904).

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

13798222909296 is a wasteful number, since it uses less digits than its factorization.

13798222909296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112077 (or 112064 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 69.

The spelling of 13798222909296 in words is "thirteen trillion, seven hundred ninety-eight billion, two hundred twenty-two million, nine hundred nine thousand, two hundred ninety-six".