14096704707072 has 960 divisors, whose sum is σ = 47805690240000. Its totient is φ = 4088134582272.

The previous prime is 14096704707013. The next prime is 14096704707079. The reversal of 14096704707072 is 27070740769041.

14096704707072 is a `hidden beast` number, since 1 + 40 + 9 + 67 + 0 + 470 + 7 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (14096704707079) 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, 10076271429 + ... + 10076272827.

It is an arithmetic number, because the mean of its divisors is an integer number (49797594000).

Almost surely, 2^{14096704707072} is an apocalyptic number.

14096704707072 is a gapful number since it is divisible by the number (12) 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 14096704707072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23902845120000).

14096704707072 is an abundant number, since it is smaller than the sum of its proper divisors (33708985532928).

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

14096704707072 is a wasteful number, since it uses less digits than its factorization.

14096704707072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1698 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 4148928, while the sum is 54.

The spelling of 14096704707072 in words is "fourteen trillion, ninety-six billion, seven hundred four million, seven hundred seven thousand, seventy-two".