14431145501376 has 252 divisors, whose sum is σ = 43565996611800. Its totient is φ = 4565777104896.

The previous prime is 14431145501369. The next prime is 14431145501471. The reversal of 14431145501376 is 67310554113441.

14431145501376 is a `hidden beast` number, since 1 + 4 + 4 + 3 + 1 + 14 + 550 + 13 + 76 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28328080 + ... + 28833008.

Almost surely, 2^{14431145501376} is an apocalyptic number.

14431145501376 is a gapful number since it is divisible by the number (16) 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 14431145501376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21782998305900).

14431145501376 is an abundant number, since it is smaller than the sum of its proper divisors (29134851110424).

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

14431145501376 is a wasteful number, since it uses less digits than its factorization.

14431145501376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505064 (or 505022 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 14431145501376 in words is "fourteen trillion, four hundred thirty-one billion, one hundred forty-five million, five hundred one thousand, three hundred seventy-six".