311685783552 has 1344 divisors, whose sum is σ = 1174744456704. Its totient is φ = 78139883520.

The previous prime is 311685783551. The next prime is 311685783559. The reversal of 311685783552 is 255387586113.

311685783552 is a `hidden beast` number, since 3 + 1 + 1 + 6 + 8 + 5 + 7 + 83 + 552 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (311685783551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6631612393 + ... + 6631612439.

It is an arithmetic number, because the mean of its divisors is an integer number (874065816).

Almost surely, 2^311685783552 is an apocalyptic number.

311685783552 is a gapful number since it is divisible by the number (32) 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 311685783552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587372228352).

311685783552 is an abundant number, since it is smaller than the sum of its proper divisors (863058673152).

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

311685783552 is a wasteful number, since it uses less digits than its factorization.

311685783552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its digits is 6048000, while the sum is 54.

The spelling of 311685783552 in words is "three hundred eleven billion, six hundred eighty-five million, seven hundred eighty-three thousand, five hundred fifty-two".