14564233364340 has 384 divisors, whose sum is σ = 47055287107584. Its totient is φ = 3331342080000.

The previous prime is 14564233364333. The next prime is 14564233364357. The reversal of 14564233364340 is 4346333246541.

It is a super-3 number, since 3×14564233364340³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 14564233364340.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 415474254 + ... + 415509306.

It is an arithmetic number, because the mean of its divisors is an integer number (122539810176).

Almost surely, 2^{14564233364340} is an apocalyptic number.

14564233364340 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 14564233364340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23527643553792).

14564233364340 is an abundant number, since it is smaller than the sum of its proper divisors (32491053743244).

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

14564233364340 is a wasteful number, since it uses less digits than its factorization.

14564233364340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35471 (or 35469 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 48.

The spelling of 14564233364340 in words is "fourteen trillion, five hundred sixty-four billion, two hundred thirty-three million, three hundred sixty-four thousand, three hundred forty".