11101646688 has 96 divisors (see below), whose sum is σ = 32312431872. Its totient is φ = 3308966400.

The previous prime is 11101646669. The next prime is 11101646783. The reversal of 11101646688 is 88664610111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21756 + ... + 150587.

It is an arithmetic number, because the mean of its divisors is an integer number (336587832).

Almost surely, 2^11101646688 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 11101646688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16156215936).

11101646688 is an abundant number, since it is smaller than the sum of its proper divisors (21210785184).

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

11101646688 is a wasteful number, since it uses less digits than its factorization.

11101646688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172428 (or 172420 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The spelling of 11101646688 in words is "eleven billion, one hundred one million, six hundred forty-six thousand, six hundred eighty-eight".