11032841664 has 504 divisors, whose sum is σ = 37561174560. Its totient is φ = 3068448768.

The previous prime is 11032841653. The next prime is 11032841669. The reversal of 11032841664 is 46614823011.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11032841669) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234741289 + ... + 234741335.

It is an arithmetic number, because the mean of its divisors is an integer number (74526140).

Almost surely, 2^11032841664 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 11032841664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18780587280).

11032841664 is an abundant number, since it is smaller than the sum of its proper divisors (26528332896).

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

11032841664 is a wasteful number, since it uses less digits than its factorization.

11032841664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 11032841664 in words is "eleven billion, thirty-two million, eight hundred forty-one thousand, six hundred sixty-four".