14001452112000 has 768 divisors, whose sum is σ = 48044748810240. Its totient is φ = 3604807680000.

The previous prime is 14001452111981. The next prime is 14001452112001. The reversal of 14001452112000 is 21125410041.

14001452112000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14001452112000² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14001452112001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72546383904 + ... + 72546384096.

It is an arithmetic number, because the mean of its divisors is an integer number (62558266680).

Almost surely, 2^{14001452112000} is an apocalyptic number.

14001452112000 is a gapful number since it is divisible by the number (10) 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 14001452112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24022374405120).

14001452112000 is an abundant number, since it is smaller than the sum of its proper divisors (34043296698240).

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

14001452112000 is an equidigital number, since it uses as much as digits as its factorization.

14001452112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

Adding to 14001452112000 its reverse (21125410041), we get a palindrome (14022577522041).

The spelling of 14001452112000 in words is "fourteen trillion, one billion, four hundred fifty-two million, one hundred twelve thousand".