14079467052000 has 576 divisors, whose sum is σ = 57377181109248. Its totient is φ = 3202899840000.

The previous prime is 14079467051989. The next prime is 14079467052043. The reversal of 14079467052000 is 25076497041.

14079467052000 is a `hidden beast` number, since 14 + 0 + 7 + 9 + 46 + 70 + 520 + 0 + 0 = 666.

It is a super-3 number, since 3×14079467052000³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53039605 + ... + 53304395.

It is an arithmetic number, because the mean of its divisors is an integer number (99613161648).

Almost surely, 2^{14079467052000} is an apocalyptic number.

14079467052000 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 14079467052000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28688590554624).

14079467052000 is an abundant number, since it is smaller than the sum of its proper divisors (43297714057248).

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

14079467052000 is a wasteful number, since it uses less digits than its factorization.

14079467052000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265040 (or 265019 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 14079467052000 in words is "fourteen trillion, seventy-nine billion, four hundred sixty-seven million, fifty-two thousand".