313534827648 has 768 divisors, whose sum is σ = 1107636768000. Its totient is φ = 87029268480.

The previous prime is 313534827629. The next prime is 313534827689. The reversal of 313534827648 is 846728435313.

It is a happy number.

313534827648 is a `hidden beast` number, since 3 + 1 + 3 + 53 + 482 + 76 + 48 = 666.

It is a super-2 number, since 2×313534827648² (a number of 24 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 313534827594 and 313534827603.

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, 1070084590 + ... + 1070084882.

It is an arithmetic number, because the mean of its divisors is an integer number (1442235375).

Almost surely, 2^313534827648 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 313534827648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553818384000).

313534827648 is an abundant number, since it is smaller than the sum of its proper divisors (794101940352).

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

313534827648 is a wasteful number, since it uses less digits than its factorization.

313534827648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 465 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 313534827648 in words is "three hundred thirteen billion, five hundred thirty-four million, eight hundred twenty-seven thousand, six hundred forty-eight".