13696417728 has 336 divisors, whose sum is σ = 46217433600. Its totient is φ = 3797194752.

The previous prime is 13696417673. The next prime is 13696417739. The reversal of 13696417728 is 82771469631.

13696417728 is a `hidden beast` number, since 136 + 96 + 417 + 7 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (3048192) is a multiple of the sum of its prime factors (784).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22865173 + ... + 22865771.

Almost surely, 2^13696417728 is an apocalyptic number.

13696417728 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 13696417728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23108716800).

13696417728 is an abundant number, since it is smaller than the sum of its proper divisors (32521015872).

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

13696417728 is a wasteful number, since it uses less digits than its factorization.

13696417728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 771 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 13696417728 in words is "thirteen billion, six hundred ninety-six million, four hundred seventeen thousand, seven hundred twenty-eight".