2311878868992 has 1200 divisors, whose sum is σ = 8851994652600. Its totient is φ = 594542592000.

The previous prime is 2311878868939. The next prime is 2311878868997. The reversal of 2311878868992 is 2998688781132.

2311878868992 is a `hidden beast` number, since 2 + 311 + 8 + 78 + 86 + 89 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2311878868992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2311878868997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 22889889742 + ... + 22889889842.

Almost surely, 2^{2311878868992} is an apocalyptic number.

2311878868992 is a gapful number since it is divisible by the number (22) 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 2311878868992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4425997326300).

2311878868992 is an abundant number, since it is smaller than the sum of its proper divisors (6540115783608).

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

2311878868992 is an frugal number, since it uses more digits than its factorization.

2311878868992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 124 counting only the distinct ones).

The product of its digits is 167215104, while the sum is 72.

The spelling of 2311878868992 in words is "two trillion, three hundred eleven billion, eight hundred seventy-eight million, eight hundred sixty-eight thousand, nine hundred ninety-two".