14536939834368 has 2112 divisors, whose sum is σ = 54739125043200. Its totient is φ = 3620764385280.

The previous prime is 14536939834343. The next prime is 14536939834369. The reversal of 14536939834368 is 86343893963541.

14536939834368 is a `hidden beast` number, since 1 + 4 + 53 + 6 + 93 + 98 + 343 + 68 = 666.

It is a super-2 number, since 2×14536939834368² (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 = 14536939834296 and 14536939834305.

It is not an unprimeable number, because it can be changed into a prime (14536939834369) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 114464093121 + ... + 114464093247.

Almost surely, 2^{14536939834368} is an apocalyptic number.

14536939834368 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 14536939834368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27369562521600).

14536939834368 is an abundant number, since it is smaller than the sum of its proper divisors (40202185208832).

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

14536939834368 is a wasteful number, since it uses less digits than its factorization.

14536939834368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 305 counting only the distinct ones).

The product of its digits is 1209323520, while the sum is 72.

The spelling of 14536939834368 in words is "fourteen trillion, five hundred thirty-six billion, nine hundred thirty-nine million, eight hundred thirty-four thousand, three hundred sixty-eight".