313546420000 has 480 divisors, whose sum is σ = 864341622144. Its totient is φ = 110976000000.

The previous prime is 313546419997. The next prime is 313546420007. The reversal of 313546420000 is 24645313.

It is a super-2 number, since 2×313546420000² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (313546420007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2288659932 + ... + 2288660068.

Almost surely, 2^313546420000 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 313546420000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432170811072).

313546420000 is an abundant number, since it is smaller than the sum of its proper divisors (550795202144).

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

313546420000 is a wasteful number, since it uses less digits than its factorization.

313546420000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The spelling of 313546420000 in words is "three hundred thirteen billion, five hundred forty-six million, four hundred twenty thousand".