13695141907728 has 320 divisors, whose sum is σ = 42608160403200. Its totient is φ = 4197417615360.

The previous prime is 13695141907721. The next prime is 13695141907763. The reversal of 13695141907728 is 82770914159631.

13695141907728 is a `hidden beast` number, since 1 + 3 + 6 + 9 + 514 + 1 + 90 + 7 + 7 + 28 = 666.

It is a super-2 number, since 2×13695141907728² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13695141907721) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 64844476 + ... + 65055332.

It is an arithmetic number, because the mean of its divisors is an integer number (133150501260).

It is a 2-persistent number, because it is pandigital, and so is 2⋅13695141907728 = 27390283815456, but 3⋅13695141907728 = 41085425723184 is not.

Almost surely, 2^{13695141907728} is an apocalyptic number.

13695141907728 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 13695141907728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21304080201600).

13695141907728 is an abundant number, since it is smaller than the sum of its proper divisors (28913018495472).

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

13695141907728 is a wasteful number, since it uses less digits than its factorization.

13695141907728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211127 (or 211115 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 13695141907728 in words is "thirteen trillion, six hundred ninety-five billion, one hundred forty-one million, nine hundred seven thousand, seven hundred twenty-eight".