14113313883552 has 192 divisors, whose sum is σ = 41508560830464. Its totient is φ = 4169383787520.

The previous prime is 14113313883551. The next prime is 14113313883553. The reversal of 14113313883552 is 25538831331141.

It is an interprime number because it is at equal distance from previous prime (14113313883551) and next prime (14113313883553).

It is a super-2 number, since 2×14113313883552² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14113313883551) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3477163 + ... + 6349589.

It is an arithmetic number, because the mean of its divisors is an integer number (216190420992).

Almost surely, 2^{14113313883552} is an apocalyptic number.

14113313883552 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 14113313883552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20754280415232).

14113313883552 is an abundant number, since it is smaller than the sum of its proper divisors (27395246946912).

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

14113313883552 is a wasteful number, since it uses less digits than its factorization.

14113313883552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2872611 (or 2872603 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The spelling of 14113313883552 in words is "fourteen trillion, one hundred thirteen billion, three hundred thirteen million, eight hundred eighty-three thousand, five hundred fifty-two".