11601111648 has 192 divisors, whose sum is σ = 36046467072. Its totient is φ = 3196938240.

The previous prime is 11601111631. The next prime is 11601111701. The reversal of 11601111648 is 84611110611.

It is a super-2 number, since 2×11601111648² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 7769590 + ... + 7771082.

It is an arithmetic number, because the mean of its divisors is an integer number (187742016).

Almost surely, 2^11601111648 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 11601111648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18023233536).

11601111648 is an abundant number, since it is smaller than the sum of its proper divisors (24445355424).

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

11601111648 is a wasteful number, since it uses less digits than its factorization.

11601111648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1917 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 30.

The spelling of 11601111648 in words is "eleven billion, six hundred one million, one hundred eleven thousand, six hundred forty-eight".