14035448960 has 192 divisors, whose sum is σ = 38144607480. Its totient is φ = 4908515328.

The previous prime is 14035448929. The next prime is 14035448981. The reversal of 14035448960 is 6984453041.

It can be written as a sum of positive squares in 4 ways, for example, as 12211134016 + 1824314944 = 110504^2 + 42712^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3001184 + ... + 3005856.

Almost surely, 2^14035448960 is an apocalyptic number.

14035448960 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 14035448960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19072303740).

14035448960 is an abundant number, since it is smaller than the sum of its proper divisors (24109158520).

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

14035448960 is a wasteful number, since it uses less digits than its factorization.

14035448960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4743 (or 4712 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 14035448960 in words is "fourteen billion, thirty-five million, four hundred forty-eight thousand, nine hundred sixty".