14282064276480 has 4224 divisors, whose sum is σ = 69527517696000. Its totient is φ = 2670487142400.

The previous prime is 14282064276457. The next prime is 14282064276539. The reversal of 14282064276480 is 8467246028241.

It is a happy number.

14282064276480 is a `hidden beast` number, since 1 + 4 + 2 + 8 + 206 + 427 + 6 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 160472632276 + ... + 160472632364.

Almost surely, 2^{14282064276480} is an apocalyptic number.

14282064276480 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 14282064276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34763758848000).

14282064276480 is an abundant number, since it is smaller than the sum of its proper divisors (55245453419520).

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

14282064276480 is a wasteful number, since it uses less digits than its factorization.

14282064276480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 14282064276480 in words is "fourteen trillion, two hundred eighty-two billion, sixty-four million, two hundred seventy-six thousand, four hundred eighty".