313085630880 has 288 divisors, whose sum is σ = 1203132123648. Its totient is φ = 73451059200.

The previous prime is 313085630827. The next prime is 313085630953. The reversal of 313085630880 is 88036580313.

313085630880 is a `hidden beast` number, since 3 + 1 + 3 + 0 + 8 + 5 + 630 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×313085630880² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 172242 + ... + 809838.

It is an arithmetic number, because the mean of its divisors is an integer number (4177542096).

Almost surely, 2^313085630880 is an apocalyptic number.

313085630880 is a gapful number since it is divisible by the number (30) 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 313085630880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601566061824).

313085630880 is an abundant number, since it is smaller than the sum of its proper divisors (890046492768).

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

313085630880 is a wasteful number, since it uses less digits than its factorization.

313085630880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637660 (or 637649 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 313085630880 in words is "three hundred thirteen billion, eighty-five million, six hundred thirty thousand, eight hundred eighty".