14005335451000 has 128 divisors (see below), whose sum is σ = 33153743750400. Its totient is φ = 5537317123200.

The previous prime is 14005335450983. The next prime is 14005335451007. The reversal of 14005335451000 is 15453350041.

It is a super-2 number, since 2×14005335451000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14005335451007) 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, 31331067 + ... + 31774933.

It is an arithmetic number, because the mean of its divisors is an integer number (259013623050).

Almost surely, 2^{14005335451000} is an apocalyptic number.

14005335451000 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 14005335451000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16576871875200).

14005335451000 is an abundant number, since it is smaller than the sum of its proper divisors (19148408299400).

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

14005335451000 is a wasteful number, since it uses less digits than its factorization.

14005335451000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444254 (or 444240 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 14005335451000 in words is "fourteen trillion, five billion, three hundred thirty-five million, four hundred fifty-one thousand".