14381270328960 has 96 divisors (see below), whose sum is σ = 49660324124580. Its totient is φ = 3835005419520.

The previous prime is 14381270328881. The next prime is 14381270328973. The reversal of 14381270328960 is 6982307218341.

It is a happy number.

14381270328960 is a `hidden beast` number, since 1 + 4 + 38 + 1 + 270 + 3 + 289 + 60 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14239996582464 + 141273746496 = 3773592^2 + 375864^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×14381270328960² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14381270328897 and 14381270328906.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1248368401 + ... + 1248379920.

Almost surely, 2^{14381270328960} is an apocalyptic number.

14381270328960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

14381270328960 is an abundant number, since it is smaller than the sum of its proper divisors (35279053795620).

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

14381270328960 is a wasteful number, since it uses less digits than its factorization.

14381270328960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496748346 (or 2496748331 counting only the distinct ones).

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

The spelling of 14381270328960 in words is "fourteen trillion, three hundred eighty-one billion, two hundred seventy million, three hundred twenty-eight thousand, nine hundred sixty".