14123206500480 has 3456 divisors, whose sum is σ = 67187224690560. Its totient is φ = 2780234772480.

The previous prime is 14123206500479. The next prime is 14123206500493. The reversal of 14123206500480 is 8400560232141.

It is a happy number.

14123206500480 is a `hidden beast` number, since 1 + 4 + 123 + 2 + 0 + 6 + 50 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 743326657911 + ... + 743326657929.

It is an arithmetic number, because the mean of its divisors is an integer number (19440747885).

Almost surely, 2^{14123206500480} is an apocalyptic number.

14123206500480 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 14123206500480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33593612345280).

14123206500480 is an abundant number, since it is smaller than the sum of its proper divisors (53064018190080).

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

14123206500480 is an frugal number, since it uses more digits than its factorization.

14123206500480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 14123206500480 in words is "fourteen trillion, one hundred twenty-three billion, two hundred six million, five hundred thousand, four hundred eighty".