13423995648 has 576 divisors, whose sum is σ = 47635338240. Its totient is φ = 3649536000.

The previous prime is 13423995643. The next prime is 13423995659. The reversal of 13423995648 is 84659932431.

13423995648 is a `hidden beast` number, since 1 + 3 + 42 + 39 + 9 + 564 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 13423995594 and 13423995603.

It is not an unprimeable number, because it can be changed into a prime (13423995643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 132910798 + ... + 132910898.

It is an arithmetic number, because the mean of its divisors is an integer number (82700240).

Almost surely, 2^13423995648 is an apocalyptic number.

13423995648 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 13423995648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23817669120).

13423995648 is an abundant number, since it is smaller than the sum of its proper divisors (34211342592).

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

13423995648 is a wasteful number, since it uses less digits than its factorization.

13423995648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 221 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 13423995648 in words is "thirteen billion, four hundred twenty-three million, nine hundred ninety-five thousand, six hundred forty-eight".