311411161332 has 96 divisors (see below), whose sum is σ = 835444713600. Its totient is φ = 100195200000.

The previous prime is 311411161309. The next prime is 311411161351. The reversal of 311411161332 is 233161114113.

311411161332 is a `hidden beast` number, since 3 + 1 + 1 + 4 + 1 + 11 + 613 + 32 = 666.

It is a super-2 number, since 2×311411161332² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 311411161296 and 311411161305.

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, 12518707 + ... + 12543557.

It is an arithmetic number, because the mean of its divisors is an integer number (8702549100).

Almost surely, 2^311411161332 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 311411161332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417722356800).

311411161332 is an abundant number, since it is smaller than the sum of its proper divisors (524033552268).

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

311411161332 is a wasteful number, since it uses less digits than its factorization.

311411161332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28894 (or 28886 counting only the distinct ones).

The product of its digits is 1296, while the sum is 27.

Adding to 311411161332 its reverse (233161114113), we get a palindrome (544572275445).

The spelling of 311411161332 in words is "three hundred eleven billion, four hundred eleven million, one hundred sixty-one thousand, three hundred thirty-two".