13483736448 has 256 divisors, whose sum is σ = 44622144000. Its totient is φ = 3512549376.

The previous prime is 13483736443. The next prime is 13483736449. The reversal of 13483736448 is 84463738431.

It is a super-2 number, since 2×13483736448² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13483736448.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13483736443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2898028 + ... + 2902676.

It is an arithmetic number, because the mean of its divisors is an integer number (174305250).

Almost surely, 2^13483736448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13483736448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22311072000).

13483736448 is an abundant number, since it is smaller than the sum of its proper divisors (31138407552).

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

13483736448 is a wasteful number, since it uses less digits than its factorization.

13483736448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4769 (or 4757 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 51.

The spelling of 13483736448 in words is "thirteen billion, four hundred eighty-three million, seven hundred thirty-six thousand, four hundred forty-eight".