14317958482464 has 576 divisors, whose sum is σ = 47784772578816. Its totient is φ = 3720090157056.

The previous prime is 14317958482459. The next prime is 14317958482481. The reversal of 14317958482464 is 46428485971341.

It is a super-2 number, since 2×14317958482464² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14317958482395 and 14317958482404.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5923854184 + ... + 5923856600.

It is an arithmetic number, because the mean of its divisors is an integer number (82959674616).

Almost surely, 2^{14317958482464} is an apocalyptic number.

14317958482464 is a gapful number since it is divisible by the number (14) 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 14317958482464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23892386289408).

14317958482464 is an abundant number, since it is smaller than the sum of its proper divisors (33466814096352).

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

14317958482464 is a wasteful number, since it uses less digits than its factorization.

14317958482464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3857 (or 3842 counting only the distinct ones).

The product of its digits is 185794560, while the sum is 66.

The spelling of 14317958482464 in words is "fourteen trillion, three hundred seventeen billion, nine hundred fifty-eight million, four hundred eighty-two thousand, four hundred sixty-four".