11033634304 has 320 divisors, whose sum is σ = 29570821632. Its totient is φ = 3981312000.

The previous prime is 11033634257. The next prime is 11033634307. The reversal of 11033634304 is 40343633011.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11033634307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67690927 + ... + 67691089.

Almost surely, 2^11033634304 is an apocalyptic number.

11033634304 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 11033634304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14785410816).

11033634304 is an abundant number, since it is smaller than the sum of its proper divisors (18537187328).

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

11033634304 is a wasteful number, since it uses less digits than its factorization.

11033634304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 28.

The spelling of 11033634304 in words is "eleven billion, thirty-three million, six hundred thirty-four thousand, three hundred four".