13284992448 has 504 divisors, whose sum is σ = 49842289952. Its totient is φ = 3293872128.

The previous prime is 13284992447. The next prime is 13284992449. The reversal of 13284992448 is 84429948231.

It is a happy number.

13284992448 is a `hidden beast` number, since 1 + 32 + 84 + 9 + 92 + 448 = 666.

13284992448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13284992447) and next prime (13284992449).

It is a tau number, because it is divible by the number of its divisors (504).

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

It is a junction number, because it is equal to n+sod(n) for n = 13284992394 and 13284992403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13284992447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15147786 + ... + 15148662.

Almost surely, 2^13284992448 is an apocalyptic number.

13284992448 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 13284992448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24921144976).

13284992448 is an abundant number, since it is smaller than the sum of its proper divisors (36557297504).

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

13284992448 is a wasteful number, since it uses less digits than its factorization.

13284992448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 919 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 13284992448 in words is "thirteen billion, two hundred eighty-four million, nine hundred ninety-two thousand, four hundred forty-eight".