14446130997012 has 288 divisors, whose sum is σ = 41668567691520. Its totient is φ = 3862106265600.

The previous prime is 14446130996977. The next prime is 14446130997029. The reversal of 14446130997012 is 21079903164441.

It is a congruent number.

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, 573496914 + ... + 573522102.

Almost surely, 2^{14446130997012} is an apocalyptic number.

14446130997012 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 14446130997012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20834283845760).

14446130997012 is an abundant number, since it is smaller than the sum of its proper divisors (27222436694508).

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

14446130997012 is a wasteful number, since it uses less digits than its factorization.

14446130997012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26575 (or 26562 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 51.

The spelling of 14446130997012 in words is "fourteen trillion, four hundred forty-six billion, one hundred thirty million, nine hundred ninety-seven thousand, twelve".