315333672948000 has 1152 divisors, whose sum is σ = 1354585376342016. Its totient is φ = 70542658944000.

The previous prime is 315333672947971. The next prime is 315333672948001. The reversal of 315333672948000 is 849276333513.

315333672948000 is a `hidden beast` number, since 3 + 1 + 53 + 33 + 67 + 29 + 480 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (315333672948001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 319294965 + ... + 320281035.

It is an arithmetic number, because the mean of its divisors is an integer number (1175855361408).

It is a 1-persistent number, because it is pandigital, but 2⋅315333672948000 = 630667345896000 is not.

Almost surely, 2^{315333672948000} is an apocalyptic number.

315333672948000 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 315333672948000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677292688171008).

315333672948000 is an abundant number, since it is smaller than the sum of its proper divisors (1039251703394016).

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

315333672948000 is an equidigital number, since it uses as much as digits as its factorization.

315333672948000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986165 (or 986135 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 315333672948000 in words is "three hundred fifteen trillion, three hundred thirty-three billion, six hundred seventy-two million, nine hundred forty-eight thousand".