14399064400896 has 1056 divisors, whose sum is σ = 54670455889920. Its totient is φ = 3549737779200.

The previous prime is 14399064400891. The next prime is 14399064400933. The reversal of 14399064400896 is 69800446099341.

14399064400896 is a `hidden beast` number, since 1 + 4 + 3 + 9 + 90 + 64 + 400 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (14399064400891) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 645947511 + ... + 645969801.

Almost surely, 2^{14399064400896} is an apocalyptic number.

14399064400896 is a gapful number since it is divisible by the number (16) 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 14399064400896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27335227944960).

14399064400896 is an abundant number, since it is smaller than the sum of its proper divisors (40271391489024).

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

14399064400896 is a wasteful number, since it uses less digits than its factorization.

14399064400896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22391 (or 22370 counting only the distinct ones).

The product of its (nonzero) digits is 40310784, while the sum is 63.

The spelling of 14399064400896 in words is "fourteen trillion, three hundred ninety-nine billion, sixty-four million, four hundred thousand, eight hundred ninety-six".