14293445806752 has 960 divisors, whose sum is σ = 47993418547200. Its totient is φ = 3710137374720.

The previous prime is 14293445806741. The next prime is 14293445806781. The reversal of 14293445806752 is 25760854439241.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17241791874 + ... + 17241792702.

It is an arithmetic number, because the mean of its divisors is an integer number (49993144320).

It is a 1-persistent number, because it is pandigital, but 2⋅14293445806752 = 28586891613504 is not.

Almost surely, 2^{14293445806752} is an apocalyptic number.

14293445806752 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 14293445806752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23996709273600).

14293445806752 is an abundant number, since it is smaller than the sum of its proper divisors (33699972740448).

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

14293445806752 is a wasteful number, since it uses less digits than its factorization.

14293445806752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1047 (or 1018 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 60.

The spelling of 14293445806752 in words is "fourteen trillion, two hundred ninety-three billion, four hundred forty-five million, eight hundred six thousand, seven hundred fifty-two".