317451197952 has 400 divisors, whose sum is σ = 1090795601280. Its totient is φ = 90036375552.

The previous prime is 317451197951. The next prime is 317451197963. The reversal of 317451197952 is 259791154713.

317451197952 is a `hidden beast` number, since 3 + 1 + 7 + 4 + 511 + 9 + 79 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (317451197951) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 40348323 + ... + 40356189.

Almost surely, 2^317451197952 is an apocalyptic number.

317451197952 is a gapful number since it is divisible by the number (32) 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 317451197952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545397800640).

317451197952 is an abundant number, since it is smaller than the sum of its proper divisors (773344403328).

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

317451197952 is an equidigital number, since it uses as much as digits as its factorization.

317451197952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8043 (or 8018 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 54.

The spelling of 317451197952 in words is "three hundred seventeen billion, four hundred fifty-one million, one hundred ninety-seven thousand, nine hundred fifty-two".