14091078456 has 384 divisors, whose sum is σ = 50443585920. Its totient is φ = 3447816192.

The previous prime is 14091078431. The next prime is 14091078479. The reversal of 14091078456 is 65487019041.

14091078456 is a `hidden beast` number, since 1 + 40 + 91 + 0 + 78 + 456 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8130166 + ... + 8131898.

It is an arithmetic number, because the mean of its divisors is an integer number (131363505).

Almost surely, 2^14091078456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14091078456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25221792960).

14091078456 is an abundant number, since it is smaller than the sum of its proper divisors (36352507464).

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

14091078456 is a wasteful number, since it uses less digits than its factorization.

14091078456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1855 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 14091078456 in words is "fourteen billion, ninety-one million, seventy-eight thousand, four hundred fifty-six".