14398385539200 has 1536 divisors, whose sum is σ = 53355335040000. Its totient is φ = 3390662246400.

The previous prime is 14398385539193. The next prime is 14398385539211. The reversal of 14398385539200 is 293558389341.

It is a super-2 number, since 2×14398385539200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 53525596666 + ... + 53525596934.

It is an arithmetic number, because the mean of its divisors is an integer number (34736546250).

Almost surely, 2^{14398385539200} is an apocalyptic number.

14398385539200 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 14398385539200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26677667520000).

14398385539200 is an abundant number, since it is smaller than the sum of its proper divisors (38956949500800).

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

14398385539200 is a wasteful number, since it uses less digits than its factorization.

14398385539200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 60.

The spelling of 14398385539200 in words is "fourteen trillion, three hundred ninety-eight billion, three hundred eighty-five million, five hundred thirty-nine thousand, two hundred".