13692152448 has 384 divisors, whose sum is σ = 44767457280. Its totient is φ = 3985293312.

The previous prime is 13692152443. The next prime is 13692152459. The reversal of 13692152448 is 84425129631.

13692152448 is a `hidden beast` number, since 1 + 3 + 69 + 21 + 524 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (13692152443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43744740 + ... + 43745052.

It is an arithmetic number, because the mean of its divisors is an integer number (116581920).

Almost surely, 2^13692152448 is an apocalyptic number.

13692152448 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 13692152448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22383728640).

13692152448 is an abundant number, since it is smaller than the sum of its proper divisors (31075304832).

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

13692152448 is a wasteful number, since it uses less digits than its factorization.

13692152448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 481 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The spelling of 13692152448 in words is "thirteen billion, six hundred ninety-two million, one hundred fifty-two thousand, four hundred forty-eight".