11608161664 has 128 divisors (see below), whose sum is σ = 26066304000. Its totient is φ = 5103544320.

The previous prime is 11608161623. The next prime is 11608161667. The reversal of 11608161664 is 46616180611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11608161667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6598417 + ... + 6600175.

It is an arithmetic number, because the mean of its divisors is an integer number (203643000).

Almost surely, 2^11608161664 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 11608161664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13033152000).

11608161664 is an abundant number, since it is smaller than the sum of its proper divisors (14458142336).

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

11608161664 is a wasteful number, since it uses less digits than its factorization.

11608161664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1936 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 11608161664 in words is "eleven billion, six hundred eight million, one hundred sixty-one thousand, six hundred sixty-four".