14985419904 has 480 divisors, whose sum is σ = 55892598300. Its totient is φ = 3950456832.

The previous prime is 14985419857. The next prime is 14985419921. The reversal of 14985419904 is 40991458941.

14985419904 is a `hidden beast` number, since 1 + 4 + 9 + 8 + 541 + 9 + 90 + 4 = 666.

14985419904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 11741889600 + 3243530304 = 108360^2 + 56952^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 6603282 + ... + 6605550.

Almost surely, 2^14985419904 is an apocalyptic number.

14985419904 is a gapful number since it is divisible by the number (14) 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 14985419904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27946299150).

14985419904 is an abundant number, since it is smaller than the sum of its proper divisors (40907178396).

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

14985419904 is a wasteful number, since it uses less digits than its factorization.

14985419904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2322 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 14985419904 in words is "fourteen billion, nine hundred eighty-five million, four hundred nineteen thousand, nine hundred four".