14386354807968 has 576 divisors, whose sum is σ = 48449335334400. Its totient is φ = 3991925145600.

The previous prime is 14386354807961. The next prime is 14386354807973. The reversal of 14386354807968 is 86970845368341.

14386354807968 is a `hidden beast` number, since 1 + 4 + 3 + 8 + 6 + 3 + 548 + 0 + 79 + 6 + 8 = 666.

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 = 14386354807896 and 14386354807905.

It is not an unprimeable number, because it can be changed into a prime (14386354807961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9088031305 + ... + 9088032887.

It is an arithmetic number, because the mean of its divisors is an integer number (84113429400).

Almost surely, 2^{14386354807968} is an apocalyptic number.

14386354807968 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 14386354807968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24224667667200).

14386354807968 is an abundant number, since it is smaller than the sum of its proper divisors (34062980526432).

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

14386354807968 is a wasteful number, since it uses less digits than its factorization.

14386354807968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253 (or 3242 counting only the distinct ones).

The product of its (nonzero) digits is 836075520, while the sum is 72.

The spelling of 14386354807968 in words is "fourteen trillion, three hundred eighty-six billion, three hundred fifty-four million, eight hundred seven thousand, nine hundred sixty-eight".