14288376960 has 1152 divisors, whose sum is σ = 62219102400. Its totient is φ = 2992619520.

The previous prime is 14288376953. The next prime is 14288376961. The reversal of 14288376960 is 6967388241.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 14288376897 and 14288376906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14288376961) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 172149079 + ... + 172149161.

Almost surely, 2^14288376960 is an apocalyptic number.

14288376960 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 14288376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31109551200).

14288376960 is an abundant number, since it is smaller than the sum of its proper divisors (47930725440).

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

14288376960 is a wasteful number, since it uses less digits than its factorization.

14288376960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 14288376960 in words is "fourteen billion, two hundred eighty-eight million, three hundred seventy-six thousand, nine hundred sixty".