14279348800956 has 96 divisors (see below), whose sum is σ = 35310050899200. Its totient is φ = 4483547228160.

The previous prime is 14279348800949. The next prime is 14279348800961. The reversal of 14279348800956 is 65900884397241.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12298636 + ... + 13409516.

It is an arithmetic number, because the mean of its divisors is an integer number (367813030200).

It is a 1-persistent number, because it is pandigital, but 2⋅14279348800956 = 28558697601912 is not.

Almost surely, 2^{14279348800956} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14279348800956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17655025449600).

14279348800956 is an abundant number, since it is smaller than the sum of its proper divisors (21030702098244).

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

14279348800956 is a wasteful number, since it uses less digits than its factorization.

14279348800956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1111819 (or 1111817 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 14279348800956 in words is "fourteen trillion, two hundred seventy-nine billion, three hundred forty-eight million, eight hundred thousand, nine hundred fifty-six".