14230993920 has 1056 divisors, whose sum is σ = 58544855040. Its totient is φ = 2919628800.

The previous prime is 14230993837. The next prime is 14230993949. The reversal of 14230993920 is 2939903241.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a super-3 number, since 3×14230993920³ (a number of 31 digits) contains 333 as substring.

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, 459064305 + ... + 459064335.

Almost surely, 2^14230993920 is an apocalyptic number.

14230993920 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 14230993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29272427520).

14230993920 is an abundant number, since it is smaller than the sum of its proper divisors (44313861120).

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

14230993920 is a wasteful number, since it uses less digits than its factorization.

14230993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 14230993920 in words is "fourteen billion, two hundred thirty million, nine hundred ninety-three thousand, nine hundred twenty".