313217414254080 has 1920 divisors, whose sum is σ = 1311626450534400. Its totient is φ = 67566049689600.

The previous prime is 313217414254049. The next prime is 313217414254099. The reversal of 313217414254080 is 80452414712313.

313217414254080 is a `hidden beast` number, since 3 + 1 + 3 + 2 + 17 + 4 + 14 + 2 + 540 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49946961345 + ... + 49946967615.

It is an arithmetic number, because the mean of its divisors is an integer number (683138776320).

Almost surely, 2^{313217414254080} is an apocalyptic number.

313217414254080 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 313217414254080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655813225267200).

313217414254080 is an abundant number, since it is smaller than the sum of its proper divisors (998409036280320).

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

313217414254080 is a wasteful number, since it uses less digits than its factorization.

313217414254080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6576 (or 6557 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

Adding to 313217414254080 its reverse (80452414712313), we get a palindrome (393669828966393).

The spelling of 313217414254080 in words is "three hundred thirteen trillion, two hundred seventeen billion, four hundred fourteen million, two hundred fifty-four thousand, eighty".