13648979736 has 128 divisors (see below), whose sum is σ = 43596710400. Its totient is φ = 3875713920.

The previous prime is 13648979699. The next prime is 13648979767. The reversal of 13648979736 is 63797984631.

13648979736 is a `hidden beast` number, since 1 + 36 + 489 + 7 + 97 + 36 = 666.

13648979736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×13648979736³ (a number of 31 digits) contains 333 as substring.

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 31 ways as a sum of consecutive naturals, for example, 218766 + ... + 274146.

It is an arithmetic number, because the mean of its divisors is an integer number (340599300).

Almost surely, 2^13648979736 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 13648979736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21798355200).

13648979736 is an abundant number, since it is smaller than the sum of its proper divisors (29947730664).

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

13648979736 is a wasteful number, since it uses less digits than its factorization.

13648979736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55566 (or 55556 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

It can be divided in two parts, 136489 and 79736, that added together give a square (216225 = 465²).

The spelling of 13648979736 in words is "thirteen billion, six hundred forty-eight million, nine hundred seventy-nine thousand, seven hundred thirty-six".