11304574303680 has 1344 divisors, whose sum is σ = 48306872420352. Its totient is φ = 2367305809920.

The previous prime is 11304574303661. The next prime is 11304574303691. The reversal of 11304574303680 is 8630347540311.

11304574303680 is a `hidden beast` number, since 1 + 13 + 0 + 4 + 574 + 3 + 0 + 3 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×11304574303680³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12463697787 + ... + 12463698693.

It is an arithmetic number, because the mean of its divisors is an integer number (35942613408).

Almost surely, 2^{11304574303680} is an apocalyptic number.

11304574303680 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 11304574303680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24153436210176).

11304574303680 is an abundant number, since it is smaller than the sum of its proper divisors (37002298116672).

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

11304574303680 is a wasteful number, since it uses less digits than its factorization.

11304574303680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 1869 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 11304574303680 in words is "eleven trillion, three hundred four billion, five hundred seventy-four million, three hundred three thousand, six hundred eighty".