14331974031648 has 1440 divisors, whose sum is σ = 54461261131200. Its totient is φ = 3662073483264.

The previous prime is 14331974031637. The next prime is 14331974031653. The reversal of 14331974031648 is 84613047913341.

14331974031648 is a `hidden beast` number, since 1 + 4 + 3 + 3 + 197 + 403 + 1 + 6 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 14331974031594 and 14331974031603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 23153431083 + ... + 23153431701.

It is an arithmetic number, because the mean of its divisors is an integer number (37820320230).

Almost surely, 2^{14331974031648} is an apocalyptic number.

14331974031648 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 14331974031648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27230630565600).

14331974031648 is an abundant number, since it is smaller than the sum of its proper divisors (40129287099552).

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

14331974031648 is a wasteful number, since it uses less digits than its factorization.

14331974031648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1060 counting only the distinct ones).

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

The spelling of 14331974031648 in words is "fourteen trillion, three hundred thirty-one billion, nine hundred seventy-four million, thirty-one thousand, six hundred forty-eight".