315148059813312 has 448 divisors, whose sum is σ = 1023029151621120. Its totient is φ = 94334990515200.

The previous prime is 315148059813281. The next prime is 315148059813317. The reversal of 315148059813312 is 213318950841513.

It is a happy number.

315148059813312 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 4 + 8 + 0 + 598 + 1 + 33 + 12 = 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 (315148059813317) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17087669563 + ... + 17087688005.

It is an arithmetic number, because the mean of its divisors is an integer number (2283547213440).

Almost surely, 2^{315148059813312} is an apocalyptic number.

315148059813312 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 315148059813312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511514575810560).

315148059813312 is an abundant number, since it is smaller than the sum of its proper divisors (707881091807808).

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

315148059813312 is a wasteful number, since it uses less digits than its factorization.

315148059813312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29389 (or 29373 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 54.

The spelling of 315148059813312 in words is "three hundred fifteen trillion, one hundred forty-eight billion, fifty-nine million, eight hundred thirteen thousand, three hundred twelve".