14297023119456 has 2304 divisors, whose sum is σ = 59250442567680. Its totient is φ = 3156483686400.

The previous prime is 14297023119403. The next prime is 14297023119469. The reversal of 14297023119456 is 65491132079241.

14297023119456 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 70 + 2 + 3 + 119 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 213388404735 + ... + 213388404801.

It is an arithmetic number, because the mean of its divisors is an integer number (25716337920).

Almost surely, 2^{14297023119456} is an apocalyptic number.

14297023119456 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 14297023119456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29625221283840).

14297023119456 is an abundant number, since it is smaller than the sum of its proper divisors (44953419448224).

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

14297023119456 is a wasteful number, since it uses less digits than its factorization.

14297023119456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 14297023119456 in words is "fourteen trillion, two hundred ninety-seven billion, twenty-three million, one hundred nineteen thousand, four hundred fifty-six".