13300935648 has 288 divisors, whose sum is σ = 47237718528. Its totient is φ = 3188782080.

The previous prime is 13300935631. The next prime is 13300935649. The reversal of 13300935648 is 84653900331.

It is a super-2 number, since 2×13300935648² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13300935649) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1050765 + ... + 1063347.

It is an arithmetic number, because the mean of its divisors is an integer number (164019856).

Almost surely, 2^13300935648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13300935648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23618859264).

13300935648 is an abundant number, since it is smaller than the sum of its proper divisors (33936782880).

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

13300935648 is a wasteful number, since it uses less digits than its factorization.

13300935648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12638 (or 12619 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The spelling of 13300935648 in words is "thirteen billion, three hundred million, nine hundred thirty-five thousand, six hundred forty-eight".