14395164672 has 192 divisors, whose sum is σ = 44018432640. Its totient is φ = 4098097152.

The previous prime is 14395164671. The next prime is 14395164673. The reversal of 14395164672 is 27646159341.

It is an interprime number because it is at equal distance from previous prime (14395164671) and next prime (14395164673).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (14395164671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18622078 + ... + 18622850.

It is an arithmetic number, because the mean of its divisors is an integer number (229262670).

Almost surely, 2^14395164672 is an apocalyptic number.

14395164672 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 14395164672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22009216320).

14395164672 is an abundant number, since it is smaller than the sum of its proper divisors (29623267968).

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

14395164672 is an equidigital number, since it uses as much as digits as its factorization.

14395164672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1238 (or 1218 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The spelling of 14395164672 in words is "fourteen billion, three hundred ninety-five million, one hundred sixty-four thousand, six hundred seventy-two".