11452514304 has 512 divisors, whose sum is σ = 40768012800. Its totient is φ = 2768240640.

The previous prime is 11452514303. The next prime is 11452514327. The reversal of 11452514304 is 40341525411.

It is a tau number, because it is divible by the number of its divisors (512).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11452514303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128679892 + ... + 128679980.

It is an arithmetic number, because the mean of its divisors is an integer number (79625025).

Almost surely, 2^11452514304 is an apocalyptic number.

11452514304 is a gapful number since it is divisible by the number (14) 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 11452514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20384006400).

11452514304 is an abundant number, since it is smaller than the sum of its proper divisors (29315498496).

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

11452514304 is an equidigital number, since it uses as much as digits as its factorization.

11452514304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 11452514304 in words is "eleven billion, four hundred fifty-two million, five hundred fourteen thousand, three hundred four".