14004156809448 has 576 divisors, whose sum is σ = 43678330375680. Its totient is φ = 4199417913600.

The previous prime is 14004156809441. The next prime is 14004156809453. The reversal of 14004156809448 is 84490865140041.

14004156809448 is a `hidden beast` number, since 1 + 40 + 0 + 4 + 156 + 8 + 0 + 9 + 448 = 666.

It is a super-2 number, since 2×14004156809448² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 14004156809394 and 14004156809403.

It is not an unprimeable number, because it can be changed into a prime (14004156809441) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8914166503 + ... + 8914168073.

It is an arithmetic number, because the mean of its divisors is an integer number (75830434680).

Almost surely, 2^{14004156809448} is an apocalyptic number.

14004156809448 is a gapful number since it is divisible by the number (18) 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 14004156809448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21839165187840).

14004156809448 is an abundant number, since it is smaller than the sum of its proper divisors (29674173566232).

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

14004156809448 is a wasteful number, since it uses less digits than its factorization.

14004156809448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2263 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 14004156809448 in words is "fourteen trillion, four billion, one hundred fifty-six million, eight hundred nine thousand, four hundred forty-eight".