11451505000 has 160 divisors (see below), whose sum is σ = 29606429160. Its totient is φ = 4124160000.

The previous prime is 11451504979. The next prime is 11451505019. The reversal of 11451505000 is 50515411.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 9419478916 + 2032026084 = 97054^2 + 45078^2 .

It is a super-2 number, since 2×11451505000² (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 39 ways as a sum of consecutive naturals, for example, 2662852 + ... + 2667148.

Almost surely, 2^11451505000 is an apocalyptic number.

11451505000 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 11451505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14803214580).

11451505000 is an abundant number, since it is smaller than the sum of its proper divisors (18154924160).

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

11451505000 is a wasteful number, since it uses less digits than its factorization.

11451505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4377 (or 4358 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 22.

The spelling of 11451505000 in words is "eleven billion, four hundred fifty-one million, five hundred five thousand".