11304531504 has 160 divisors (see below), whose sum is σ = 37122624000. Its totient is φ = 3226473216.

The previous prime is 11304531467. The next prime is 11304531527. The reversal of 11304531504 is 40513540311.

It is a happy number.

11304531504 is a `hidden beast` number, since 113 + 0 + 45 + 3 + 1 + 504 = 666.

It is a super-3 number, since 3×11304531504³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4894702 + ... + 4897010.

It is an arithmetic number, because the mean of its divisors is an integer number (232016400).

Almost surely, 2^11304531504 is an apocalyptic number.

11304531504 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 11304531504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18561312000).

11304531504 is an abundant number, since it is smaller than the sum of its proper divisors (25818092496).

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

11304531504 is a wasteful number, since it uses less digits than its factorization.

11304531504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3952 (or 3940 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 11304531504 in words is "eleven billion, three hundred four million, five hundred thirty-one thousand, five hundred four".