14680776960 has 252 divisors, whose sum is σ = 52726805292. Its totient is φ = 3914625024.

The previous prime is 14680776953. The next prime is 14680777003. The reversal of 14680776960 is 6967708641.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3202654464 + 11478122496 = 56592^2 + 107136^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 14680776897 and 14680776906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 925254 + ... + 940986.

Almost surely, 2^14680776960 is an apocalyptic number.

14680776960 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 14680776960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26363402646).

14680776960 is an abundant number, since it is smaller than the sum of its proper divisors (38046028332).

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

14680776960 is an frugal number, since it uses more digits than its factorization.

14680776960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15772 (or 15743 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 14680776960 in words is "fourteen billion, six hundred eighty million, seven hundred seventy-six thousand, nine hundred sixty".