14468088640 has 112 divisors (see below), whose sum is σ = 35013034368. Its totient is φ = 5693773824.

The previous prime is 14468088601. The next prime is 14468088653. The reversal of 14468088640 is 4688086441.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5371134 + ... + 5373826.

Almost surely, 2^14468088640 is an apocalyptic number.

14468088640 is a gapful number since it is divisible by the number (10) 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 14468088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17506517184).

14468088640 is an abundant number, since it is smaller than the sum of its proper divisors (20544945728).

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

14468088640 is a wasteful number, since it uses less digits than its factorization.

14468088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2966 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 49.

The spelling of 14468088640 in words is "fourteen billion, four hundred sixty-eight million, eighty-eight thousand, six hundred forty".