14589290496 has 192 divisors, whose sum is σ = 43242413760. Its totient is φ = 4336517120.

The previous prime is 14589290459. The next prime is 14589290497. The reversal of 14589290496 is 69409298541.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-4 number, since 4×14589290496⁴ (a number of 42 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (14589290497) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3579916 + ... + 3583988.

It is an arithmetic number, because the mean of its divisors is an integer number (225220905).

Almost surely, 2^14589290496 is an apocalyptic number.

14589290496 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 14589290496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21621206880).

14589290496 is an abundant number, since it is smaller than the sum of its proper divisors (28653123264).

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

14589290496 is a wasteful number, since it uses less digits than its factorization.

14589290496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4162 (or 4142 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 57.

The spelling of 14589290496 in words is "fourteen billion, five hundred eighty-nine million, two hundred ninety thousand, four hundred ninety-six".