14959270496 has 96 divisors (see below), whose sum is σ = 32809214592. Its totient is φ = 6681968640.

The previous prime is 14959270483. The next prime is 14959270531. The reversal of 14959270496 is 69407295941.

14959270496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 816185 + ... + 834311.

It is an arithmetic number, because the mean of its divisors is an integer number (341762652).

Almost surely, 2^14959270496 is an apocalyptic number.

14959270496 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 14959270496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16404607296).

14959270496 is an abundant number, since it is smaller than the sum of its proper divisors (17849944096).

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

14959270496 is a wasteful number, since it uses less digits than its factorization.

14959270496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18232 (or 18224 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 56.

The spelling of 14959270496 in words is "fourteen billion, nine hundred fifty-nine million, two hundred seventy thousand, four hundred ninety-six".