14399361600 has 672 divisors, whose sum is σ = 54183198720. Its totient is φ = 3321077760.

The previous prime is 14399361583. The next prime is 14399361629. The reversal of 14399361600 is 616399341.

It is a super-2 number, since 2×14399361600² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 113380737 + ... + 113380863.

It is an arithmetic number, because the mean of its divisors is an integer number (80629760).

Almost surely, 2^14399361600 is an apocalyptic number.

14399361600 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 14399361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27091599360).

14399361600 is an abundant number, since it is smaller than the sum of its proper divisors (39783837120).

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

14399361600 is a wasteful number, since it uses less digits than its factorization.

14399361600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The spelling of 14399361600 in words is "fourteen billion, three hundred ninety-nine million, three hundred sixty-one thousand, six hundred".