13248048640 has 40 divisors (see below), whose sum is σ = 31764272760. Its totient is φ = 5299218432.

The previous prime is 13248048607. The next prime is 13248048683. The reversal of 13248048640 is 4684084231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 13248048593 and 13248048602.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2584950 + ... + 2590069.

It is an arithmetic number, because the mean of its divisors is an integer number (794106819).

Almost surely, 2^13248048640 is an apocalyptic number.

13248048640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13248048640 is an abundant number, since it is smaller than the sum of its proper divisors (18516224120).

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

13248048640 is an frugal number, since it uses more digits than its factorization.

13248048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5175042 (or 5175026 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The spelling of 13248048640 in words is "thirteen billion, two hundred forty-eight million, forty-eight thousand, six hundred forty".