13734009648 has 40 divisors (see below), whose sum is σ = 39421695600. Its totient is φ = 4578003072.

The previous prime is 13734009643. The next prime is 13734009649. The reversal of 13734009648 is 84690043731.

It is a super-2 number, since 2×13734009648² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13734009643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15895413 + ... + 15896276.

It is an arithmetic number, because the mean of its divisors is an integer number (985542390).

Almost surely, 2^13734009648 is an apocalyptic number.

13734009648 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

13734009648 is an abundant number, since it is smaller than the sum of its proper divisors (25687685952).

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

13734009648 is a wasteful number, since it uses less digits than its factorization.

13734009648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31791706 (or 31791694 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13734009648 in words is "thirteen billion, seven hundred thirty-four million, nine thousand, six hundred forty-eight".