14233553460 has 144 divisors (see below), whose sum is σ = 49376186496. Its totient is φ = 3251195136.

The previous prime is 14233553459. The next prime is 14233553513. The reversal of 14233553460 is 6435533241.

14233553460 is a `hidden beast` number, since 1 + 42 + 3 + 3 + 553 + 4 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2551234 + ... + 2556806.

It is an arithmetic number, because the mean of its divisors is an integer number (342890184).

Almost surely, 2^14233553460 is an apocalyptic number.

14233553460 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 14233553460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24688093248).

14233553460 is an abundant number, since it is smaller than the sum of its proper divisors (35142633036).

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

14233553460 is a wasteful number, since it uses less digits than its factorization.

14233553460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7622 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 14233553460 in words is "fourteen billion, two hundred thirty-three million, five hundred fifty-three thousand, four hundred sixty".