313340793984 has 192 divisors, whose sum is σ = 984281844000. Its totient is φ = 98949537792.

The previous prime is 313340793973. The next prime is 313340793989. The reversal of 313340793984 is 489397043313.

313340793984 is a `hidden beast` number, since 31 + 33 + 407 + 93 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is a self number, because there is not a number n which added to its sum of digits gives 313340793984.

It is not an unprimeable number, because it can be changed into a prime (313340793989) 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 23 ways as a sum of consecutive naturals, for example, 325872 + ... + 856080.

Almost surely, 2^313340793984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313340793984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492140922000).

313340793984 is an abundant number, since it is smaller than the sum of its proper divisors (670941050016).

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

313340793984 is an equidigital number, since it uses as much as digits as its factorization.

313340793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530257 (or 530233 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 313340793984 in words is "three hundred thirteen billion, three hundred forty million, seven hundred ninety-three thousand, nine hundred eighty-four".