13023821448 has 288 divisors, whose sum is σ = 41947476480. Its totient is φ = 3633484800.

The previous prime is 13023821443. The next prime is 13023821521. The reversal of 13023821448 is 84412832031.

It is a happy number.

13023821448 is a `hidden beast` number, since 130 + 2 + 3 + 82 + 1 + 448 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13023821443) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6959953 + ... + 6961823.

It is an arithmetic number, because the mean of its divisors is an integer number (145650960).

Almost surely, 2^13023821448 is an apocalyptic number.

13023821448 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 13023821448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20973738240).

13023821448 is an abundant number, since it is smaller than the sum of its proper divisors (28923655032).

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

13023821448 is a wasteful number, since it uses less digits than its factorization.

13023821448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1969 (or 1951 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 13023821448 in words is "thirteen billion, twenty-three million, eight hundred twenty-one thousand, four hundred forty-eight".