14485378432 has 256 divisors, whose sum is σ = 36034560000. Its totient is φ = 5784791040.

The previous prime is 14485378417. The next prime is 14485378469. The reversal of 14485378432 is 23487358441.

14485378432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39469513 + ... + 39469879.

It is an arithmetic number, because the mean of its divisors is an integer number (140760000).

Almost surely, 2^14485378432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14485378432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18017280000).

14485378432 is an abundant number, since it is smaller than the sum of its proper divisors (21549181568).

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

14485378432 is an equidigital number, since it uses as much as digits as its factorization.

14485378432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 436 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 49.

The spelling of 14485378432 in words is "fourteen billion, four hundred eighty-five million, three hundred seventy-eight thousand, four hundred thirty-two".