13448949696 has 1008 divisors, whose sum is σ = 53600811264. Its totient is φ = 3260694528.

The previous prime is 13448949677. The next prime is 13448949727. The reversal of 13448949696 is 69694984431.

13448949696 is a `hidden beast` number, since 13 + 4 + 48 + 9 + 496 + 96 = 666.

13448949696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (63).

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

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 312766251 + ... + 312766293.

It is an arithmetic number, because the mean of its divisors is an integer number (53175408).

Almost surely, 2^13448949696 is an apocalyptic number.

13448949696 is a gapful number since it is divisible by the number (16) 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 13448949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26800405632).

13448949696 is an abundant number, since it is smaller than the sum of its proper divisors (40151861568).

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

13448949696 is a wasteful number, since it uses less digits than its factorization.

13448949696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 85 counting only the distinct ones).

The product of its digits is 40310784, while the sum is 63.

The spelling of 13448949696 in words is "thirteen billion, four hundred forty-eight million, nine hundred forty-nine thousand, six hundred ninety-six".