3111561458688 has 176 divisors, whose sum is σ = 8341916713920. Its totient is φ = 1031143686144.

The previous prime is 3111561458671. The next prime is 3111561458689. The reversal of 3111561458688 is 8868541651113.

It is a super-2 number, since 2×3111561458688² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3111561458689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376288218 + ... + 376296486.

Almost surely, 2^{3111561458688} 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 3111561458688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4170958356960).

3111561458688 is an abundant number, since it is smaller than the sum of its proper divisors (5230355255232).

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

3111561458688 is a wasteful number, since it uses less digits than its factorization.

3111561458688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8992 (or 8974 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 57.

The spelling of 3111561458688 in words is "three trillion, one hundred eleven billion, five hundred sixty-one million, four hundred fifty-eight thousand, six hundred eighty-eight".