311745309876 has 768 divisors, whose sum is σ = 1108548403200. Its totient is φ = 73592064000.

The previous prime is 311745309829. The next prime is 311745309893. The reversal of 311745309876 is 678903547113.

311745309876 is a `hidden beast` number, since 3 + 1 + 17 + 4 + 530 + 98 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2064538401 + ... + 2064538551.

It is an arithmetic number, because the mean of its divisors is an integer number (1443422400).

Almost surely, 2^311745309876 is an apocalyptic number.

311745309876 is a gapful number since it is divisible by the number (36) 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 311745309876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554274201600).

311745309876 is an abundant number, since it is smaller than the sum of its proper divisors (796803093324).

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

311745309876 is a wasteful number, since it uses less digits than its factorization.

311745309876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 311745309876 in words is "three hundred eleven billion, seven hundred forty-five million, three hundred nine thousand, eight hundred seventy-six".