13657466436768 has 864 divisors, whose sum is σ = 50479754532480. Its totient is φ = 3462520320000.

The previous prime is 13657466436767. The next prime is 13657466436799. The reversal of 13657466436768 is 86763466475631.

13657466436768 is a `hidden beast` number, since 1 + 3 + 6 + 5 + 7 + 466 + 43 + 67 + 68 = 666.

It is a super-3 number, since 3×13657466436768³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13657466436696 and 13657466436705.

It is not an unprimeable number, because it can be changed into a prime (13657466436767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1113162538 + ... + 1113174806.

It is an arithmetic number, because the mean of its divisors is an integer number (58425641820).

Almost surely, 2^{13657466436768} is an apocalyptic number.

13657466436768 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 13657466436768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25239877266240).

13657466436768 is an abundant number, since it is smaller than the sum of its proper divisors (36822288095712).

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

13657466436768 is a wasteful number, since it uses less digits than its factorization.

13657466436768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12482 (or 12464 counting only the distinct ones).

The product of its digits is 2194698240, while the sum is 72.

The spelling of 13657466436768 in words is "thirteen trillion, six hundred fifty-seven billion, four hundred sixty-six million, four hundred thirty-six thousand, seven hundred sixty-eight".