14786004960 has 288 divisors, whose sum is σ = 52374198240. Its totient is φ = 3794079744.

The previous prime is 14786004941. The next prime is 14786004967. The reversal of 14786004960 is 6940068741.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14786004967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21840142 + ... + 21840818.

It is an arithmetic number, because the mean of its divisors is an integer number (181854855).

Almost surely, 2^14786004960 is an apocalyptic number.

14786004960 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 14786004960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26187099120).

14786004960 is an abundant number, since it is smaller than the sum of its proper divisors (37588193280).

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

14786004960 is a wasteful number, since it uses less digits than its factorization.

14786004960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1250 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 14786004960 in words is "fourteen billion, seven hundred eighty-six million, four thousand, nine hundred sixty".