11601331665152 has 288 divisors, whose sum is σ = 24546021948000. Its totient is φ = 5464929075200.

The previous prime is 11601331665101. The next prime is 11601331665167. The reversal of 11601331665152 is 25156613310611.

It can be written as a sum of positive squares in 16 ways, for example, as 2738945560576 + 8862386104576 = 1654976^2 + 2976976^2 .

It is a super-3 number, since 3×11601331665152³ (a number of 40 digits) contains 333 as substring.

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, 22792399874 + ... + 22792400382.

It is an arithmetic number, because the mean of its divisors is an integer number (85229242875).

Almost surely, 2^{11601331665152} 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 11601331665152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12273010974000).

11601331665152 is an abundant number, since it is smaller than the sum of its proper divisors (12944690282848).

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

11601331665152 is a wasteful number, since it uses less digits than its factorization.

11601331665152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 41.

Adding to 11601331665152 its reverse (25156613310611), we get a palindrome (36757944975763).

The spelling of 11601331665152 in words is "eleven trillion, six hundred one billion, three hundred thirty-one million, six hundred sixty-five thousand, one hundred fifty-two".