14432109552 has 600 divisors, whose sum is σ = 52155224352. Its totient is φ = 3832012800.

The previous prime is 14432109541. The next prime is 14432109581. The reversal of 14432109552 is 25590123441.

It is a super-2 number, since 2×14432109552² (a number of 21 digits) contains 22 as substring.

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 119 ways as a sum of consecutive naturals, for example, 59884152 + ... + 59884392.

Almost surely, 2^14432109552 is an apocalyptic number.

14432109552 is a gapful number since it is divisible by the number (12) 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 14432109552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26077612176).

14432109552 is an abundant number, since it is smaller than the sum of its proper divisors (37723114800).

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

14432109552 is a wasteful number, since it uses less digits than its factorization.

14432109552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 14432109552 in words is "fourteen billion, four hundred thirty-two million, one hundred nine thousand, five hundred fifty-two".