14064000654330 has 192 divisors, whose sum is σ = 40445627294592. Its totient is φ = 3362037995520.

The previous prime is 14064000654311. The next prime is 14064000654377. The reversal of 14064000654330 is 3345600046041.

14064000654330 is a `hidden beast` number, since 1 + 4 + 0 + 640 + 0 + 0 + 6 + 5 + 4 + 3 + 3 + 0 = 666.

It is a super-2 number, since 2×14064000654330² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393347734 + ... + 393383486.

It is an arithmetic number, because the mean of its divisors is an integer number (210654308826).

Almost surely, 2^{14064000654330} is an apocalyptic number.

14064000654330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14064000654330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20222813647296).

14064000654330 is an abundant number, since it is smaller than the sum of its proper divisors (26381626640262).

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

14064000654330 is a wasteful number, since it uses less digits than its factorization.

14064000654330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41293 (or 41290 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 14064000654330 in words is "fourteen trillion, sixty-four billion, six hundred fifty-four thousand, three hundred thirty".