14195091456 has 864 divisors, whose sum is σ = 54675129600. Its totient is φ = 3622993920.

The previous prime is 14195091451. The next prime is 14195091461. The reversal of 14195091456 is 65419059141.

14195091456 is a `hidden beast` number, since 1 + 4 + 195 + 0 + 9 + 1 + 456 = 666.

It is an interprime number because it is at equal distance from previous prime (14195091451) and next prime (14195091461).

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (14195091451) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 457906161 + ... + 457906191.

It is an arithmetic number, because the mean of its divisors is an integer number (63281400).

Almost surely, 2^14195091456 is an apocalyptic number.

14195091456 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 14195091456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27337564800).

14195091456 is an abundant number, since it is smaller than the sum of its proper divisors (40480038144).

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

14195091456 is a wasteful number, since it uses less digits than its factorization.

14195091456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 14195091456 in words is "fourteen billion, one hundred ninety-five million, ninety-one thousand, four hundred fifty-six".