14495255736768 has 336 divisors, whose sum is σ = 46460826397440. Its totient is φ = 4465800345600.

The previous prime is 14495255736733. The next prime is 14495255736791. The reversal of 14495255736768 is 86763755259441.

14495255736768 is a `hidden beast` number, since 1 + 4 + 4 + 9 + 5 + 2 + 557 + 3 + 6 + 7 + 68 = 666.

It is a super-2 number, since 2×14495255736768² (a number of 27 digits) contains 22 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 = 14495255736696 and 14495255736705.

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, 11516773 + ... + 12713243.

It is an arithmetic number, because the mean of its divisors is an integer number (138276269040).

Almost surely, 2^{14495255736768} is an apocalyptic number.

14495255736768 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 14495255736768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23230413198720).

14495255736768 is an abundant number, since it is smaller than the sum of its proper divisors (31965570660672).

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

14495255736768 is a wasteful number, since it uses less digits than its factorization.

14495255736768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1196558 (or 1196536 counting only the distinct ones).

The product of its digits is 1524096000, while the sum is 72.

The spelling of 14495255736768 in words is "fourteen trillion, four hundred ninety-five billion, two hundred fifty-five million, seven hundred thirty-six thousand, seven hundred sixty-eight".