14456053500 has 144 divisors (see below), whose sum is σ = 48969097632. Its totient is φ = 3304224000.

The previous prime is 14456053483. The next prime is 14456053523. The reversal of 14456053500 is 535065441.

It is a super-3 number, since 3×14456053500³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24841 + ... + 171840.

It is an arithmetic number, because the mean of its divisors is an integer number (340063178).

Almost surely, 2^14456053500 is an apocalyptic number.

14456053500 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 14456053500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24484548816).

14456053500 is an abundant number, since it is smaller than the sum of its proper divisors (34513044132).

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

14456053500 is a wasteful number, since it uses less digits than its factorization.

14456053500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196717 (or 196698 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 14456053500 in words is "fourteen billion, four hundred fifty-six million, fifty-three thousand, five hundred".