14294146821696 has 672 divisors, whose sum is σ = 49893222113280. Its totient is φ = 3973257805824.

The previous prime is 14294146821673. The next prime is 14294146821697. The reversal of 14294146821696 is 69612864149241.

14294146821696 is a `hidden beast` number, since 1 + 4 + 2 + 9 + 4 + 1 + 468 + 2 + 169 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (14294146821697) 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, 623017201 + ... + 623040143.

It is an arithmetic number, because the mean of its divisors is an integer number (74245866240).

Almost surely, 2^{14294146821696} is an apocalyptic number.

14294146821696 is a gapful number since it is divisible by the number (16) 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 14294146821696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24946611056640).

14294146821696 is an abundant number, since it is smaller than the sum of its proper divisors (35599075291584).

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

14294146821696 is an equidigital number, since it uses as much as digits as its factorization.

14294146821696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23133 (or 23111 counting only the distinct ones).

The product of its digits is 35831808, while the sum is 63.

The spelling of 14294146821696 in words is "fourteen trillion, two hundred ninety-four billion, one hundred forty-six million, eight hundred twenty-one thousand, six hundred ninety-six".