13283997408 has 144 divisors (see below), whose sum is σ = 42737175936. Its totient is φ = 4025427840.

The previous prime is 13283997403. The next prime is 13283997437. The reversal of 13283997408 is 80479938231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13283997401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7885 + ... + 163187.

It is an arithmetic number, because the mean of its divisors is an integer number (296785944).

Almost surely, 2^13283997408 is an apocalyptic number.

13283997408 is a gapful number since it is divisible by the number (18) 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 13283997408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21368587968).

13283997408 is an abundant number, since it is smaller than the sum of its proper divisors (29453178528).

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

13283997408 is a wasteful number, since it uses less digits than its factorization.

13283997408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155339 (or 155319 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 13283997408 in words is "thirteen billion, two hundred eighty-three million, nine hundred ninety-seven thousand, four hundred eight".