317552400000 has 1296 divisors, whose sum is σ = 1303656853590. Its totient is φ = 76982400000.

The previous prime is 317552399951. The next prime is 317552400119. The reversal of 317552400000 is 4255713.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 457275456 + 317095124544 = 21384^2 + 563112^2 .

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 28868399995 + ... + 28868400005.

Almost surely, 2^317552400000 is an apocalyptic number.

317552400000 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 317552400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651828426795).

317552400000 is an abundant number, since it is smaller than the sum of its proper divisors (986104453590).

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

317552400000 is an frugal number, since it uses more digits than its factorization.

317552400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

Adding to 317552400000 its reverse (4255713), we get a palindrome (317556655713).

The spelling of 317552400000 in words is "three hundred seventeen billion, five hundred fifty-two million, four hundred thousand".