2311141116480 has 896 divisors, whose sum is σ = 9078526033920. Its totient is φ = 486107381760.

The previous prime is 2311141116467. The next prime is 2311141116491. The reversal of 2311141116480 is 846111411132.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2536927225 + ... + 2536928135.

It is an arithmetic number, because the mean of its divisors is an integer number (10132283520).

Almost surely, 2^{2311141116480} is an apocalyptic number.

2311141116480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2311141116480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4539263016960).

2311141116480 is an abundant number, since it is smaller than the sum of its proper divisors (6767384917440).

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

2311141116480 is a wasteful number, since it uses less digits than its factorization.

2311141116480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1427 (or 1417 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 33.

The spelling of 2311141116480 in words is "two trillion, three hundred eleven billion, one hundred forty-one million, one hundred sixteen thousand, four hundred eighty".