13648707072 has 720 divisors, whose sum is σ = 53487514080. Its totient is φ = 3260252160.

The previous prime is 13648707067. The next prime is 13648707077. The reversal of 13648707072 is 27070784631.

13648707072 is a `hidden beast` number, since 1 + 36 + 487 + 0 + 70 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (13648707067) and next prime (13648707077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13648707077) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 50738554 + ... + 50738822.

It is an arithmetic number, because the mean of its divisors is an integer number (74288214).

Almost surely, 2^13648707072 is an apocalyptic number.

13648707072 is a gapful number since it is divisible by the number (12) 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 13648707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26743757040).

13648707072 is an abundant number, since it is smaller than the sum of its proper divisors (39838807008).

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

13648707072 is a wasteful number, since it uses less digits than its factorization.

13648707072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 13648707072 in words is "thirteen billion, six hundred forty-eight million, seven hundred seven thousand, seventy-two".