11633227530804 has 288 divisors, whose sum is σ = 34111339726464. Its totient is φ = 3303730421760.

The previous prime is 11633227530791. The next prime is 11633227530823. The reversal of 11633227530804 is 40803572233611.

11633227530804 is a `hidden beast` number, since 1 + 1 + 6 + 3 + 32 + 2 + 7 + 530 + 80 + 4 = 666.

It is a super-2 number, since 2×11633227530804² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11633227530804.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3773345047 + ... + 3773348129.

It is an arithmetic number, because the mean of its divisors is an integer number (118442151828).

Almost surely, 2^{11633227530804} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11633227530804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17055669863232).

11633227530804 is an abundant number, since it is smaller than the sum of its proper divisors (22478112195660).

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

11633227530804 is a wasteful number, since it uses less digits than its factorization.

11633227530804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5327 (or 5322 counting only the distinct ones).

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

The spelling of 11633227530804 in words is "eleven trillion, six hundred thirty-three billion, two hundred twenty-seven million, five hundred thirty thousand, eight hundred four".