313944887880 has 256 divisors, whose sum is σ = 1128799526400. Its totient is φ = 77154094080.

The previous prime is 313944887849. The next prime is 313944887897. The reversal of 313944887880 is 88788449313.

313944887880 is a `hidden beast` number, since 3 + 1 + 3 + 9 + 4 + 488 + 78 + 80 = 666.

It is a super-2 number, since 2×313944887880² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8841522 + ... + 8876958.

It is an arithmetic number, because the mean of its divisors is an integer number (4409373150).

Almost surely, 2^313944887880 is an apocalyptic number.

313944887880 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 313944887880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564399763200).

313944887880 is an abundant number, since it is smaller than the sum of its proper divisors (814854638520).

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

313944887880 is a wasteful number, since it uses less digits than its factorization.

313944887880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36101 (or 36091 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 313944887880 in words is "three hundred thirteen billion, nine hundred forty-four million, eight hundred eighty-seven thousand, eight hundred eighty".