13696533648 has 440 divisors, whose sum is σ = 48325428800. Its totient is φ = 3673320192.

The previous prime is 13696533647. The next prime is 13696533661. The reversal of 13696533648 is 84633569631.

13696533648 is a `hidden beast` number, since 1 + 3 + 69 + 6 + 533 + 6 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 13696533594 and 13696533603.

It is not an unprimeable number, because it can be changed into a prime (13696533647) by changing a digit.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 125656218 + ... + 125656326.

It is an arithmetic number, because the mean of its divisors is an integer number (109830520).

Almost surely, 2^13696533648 is an apocalyptic number.

13696533648 is a gapful number since it is divisible by the number (18) 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 13696533648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24162714400).

13696533648 is an abundant number, since it is smaller than the sum of its proper divisors (34628895152).

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

13696533648 is an equidigital number, since it uses as much as digits as its factorization.

13696533648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The spelling of 13696533648 in words is "thirteen billion, six hundred ninety-six million, five hundred thirty-three thousand, six hundred forty-eight".