14968767494400 has 432 divisors, whose sum is σ = 49744086633024. Its totient is φ = 3963947581440.

The previous prime is 14968767494399. The next prime is 14968767494467. The reversal of 14968767494400 is 449476786941.

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 47 ways as a sum of consecutive naturals, for example, 2286351927 + ... + 2286358473.

Almost surely, 2^{14968767494400} is an apocalyptic number.

14968767494400 is a gapful number since it is divisible by the number (10) 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 14968767494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24872043316512).

14968767494400 is an abundant number, since it is smaller than the sum of its proper divisors (34775319138624).

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

14968767494400 is a wasteful number, since it uses less digits than its factorization.

14968767494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7386 (or 7367 counting only the distinct ones).

The product of its (nonzero) digits is 292626432, while the sum is 69.

The spelling of 14968767494400 in words is "fourteen trillion, nine hundred sixty-eight billion, seven hundred sixty-seven million, four hundred ninety-four thousand, four hundred".