11452305000 has 320 divisors, whose sum is σ = 38354722560. Its totient is φ = 2838528000.

The previous prime is 11452304999. The next prime is 11452305013. The reversal of 11452305000 is 50325411.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24734769 + ... + 24735231.

It is an arithmetic number, because the mean of its divisors is an integer number (119858508).

Almost surely, 2^11452305000 is an apocalyptic number.

11452305000 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 11452305000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19177361280).

11452305000 is an abundant number, since it is smaller than the sum of its proper divisors (26902417560).

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

11452305000 is a wasteful number, since it uses less digits than its factorization.

11452305000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The spelling of 11452305000 in words is "eleven billion, four hundred fifty-two million, three hundred five thousand".