13698327456 has 288 divisors, whose sum is σ = 45186942528. Its totient is φ = 3890257920.

The previous prime is 13698327449. The next prime is 13698327463. The reversal of 13698327456 is 65472389631.

13698327456 is a `hidden beast` number, since 1 + 369 + 8 + 3 + 274 + 5 + 6 = 666.

13698327456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13698327449) and next prime (13698327463).

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 18687666 + ... + 18688398.

It is an arithmetic number, because the mean of its divisors is an integer number (156899106).

Almost surely, 2^13698327456 is an apocalyptic number.

13698327456 is a gapful number since it is divisible by the number (16) 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 13698327456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22593471264).

13698327456 is an abundant number, since it is smaller than the sum of its proper divisors (31488615072).

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

13698327456 is a wasteful number, since it uses less digits than its factorization.

13698327456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124 (or 1113 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 13698327456 in words is "thirteen billion, six hundred ninety-eight million, three hundred twenty-seven thousand, four hundred fifty-six".