14364807069312 has 1536 divisors, whose sum is σ = 53712394444800. Its totient is φ = 3727941304320.

The previous prime is 14364807069259. The next prime is 14364807069421. The reversal of 14364807069312 is 21396070846341.

14364807069312 is a `hidden beast` number, since 1 + 4 + 3 + 6 + 480 + 70 + 6 + 93 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15630910389 + ... + 15630911307.

It is an arithmetic number, because the mean of its divisors is an integer number (34969006800).

Almost surely, 2^{14364807069312} is an apocalyptic number.

14364807069312 is a gapful number since it is divisible by the number (12) 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 14364807069312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26856197222400).

14364807069312 is an abundant number, since it is smaller than the sum of its proper divisors (39347587375488).

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

14364807069312 is a wasteful number, since it uses less digits than its factorization.

14364807069312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 14364807069312 in words is "fourteen trillion, three hundred sixty-four billion, eight hundred seven million, sixty-nine thousand, three hundred twelve".