11004821632 has 256 divisors, whose sum is σ = 27046483200. Its totient is φ = 4361011200.

The previous prime is 11004821617. The next prime is 11004821651. The reversal of 11004821632 is 23612840011.

It is a super-2 number, since 2×11004821632² (a number of 21 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11004821632.

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, 84006207 + ... + 84006337.

It is an arithmetic number, because the mean of its divisors is an integer number (105650325).

Almost surely, 2^11004821632 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 11004821632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13523241600).

11004821632 is an abundant number, since it is smaller than the sum of its proper divisors (16041661568).

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

11004821632 is a wasteful number, since it uses less digits than its factorization.

11004821632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The spelling of 11004821632 in words is "eleven billion, four million, eight hundred twenty-one thousand, six hundred thirty-two".