311104386216 has 384 divisors, whose sum is σ = 975189196800. Its totient is φ = 88800053760.

The previous prime is 311104386167. The next prime is 311104386247. The reversal of 311104386216 is 612683401113.

311104386216 is a `hidden beast` number, since 3 + 1 + 1 + 1 + 0 + 438 + 6 + 216 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227581165 + ... + 227582531.

It is an arithmetic number, because the mean of its divisors is an integer number (2539555200).

Almost surely, 2^311104386216 is an apocalyptic number.

311104386216 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 311104386216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487594598400).

311104386216 is an abundant number, since it is smaller than the sum of its proper divisors (664084810584).

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

311104386216 is a wasteful number, since it uses less digits than its factorization.

311104386216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1669 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

Adding to 311104386216 its reverse (612683401113), we get a palindrome (923787787329).

The spelling of 311104386216 in words is "three hundred eleven billion, one hundred four million, three hundred eighty-six thousand, two hundred sixteen".