4683131271360 has 672 divisors, whose sum is σ = 17444342373120. Its totient is φ = 1148656287744.

The previous prime is 4683131271349. The next prime is 4683131271397. The reversal of 4683131271360 is 631721313864.

4683131271360 is a `hidden beast` number, since 4 + 6 + 8 + 3 + 13 + 1 + 271 + 360 = 666.

It is a super-3 number, since 3×4683131271360³ (a number of 39 digits) contains 333 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 95 ways as a sum of consecutive naturals, for example, 2321829072 + ... + 2321831088.

Almost surely, 2^{4683131271360} is an apocalyptic number.

4683131271360 is a gapful number since it is divisible by the number (40) 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 4683131271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8722171186560).

4683131271360 is an abundant number, since it is smaller than the sum of its proper divisors (12761211101760).

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

4683131271360 is a wasteful number, since it uses less digits than its factorization.

4683131271360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113 (or 3100 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 4683131271360 in words is "four trillion, six hundred eighty-three billion, one hundred thirty-one million, two hundred seventy-one thousand, three hundred sixty".