312795107509248 has 1408 divisors, whose sum is σ = 1150340373504000. Its totient is φ = 81758598856704.

The previous prime is 312795107509109. The next prime is 312795107509289. The reversal of 312795107509248 is 842905701597213.

It is a happy number.

312795107509248 is a `hidden beast` number, since 3 + 1 + 2 + 7 + 9 + 510 + 75 + 0 + 9 + 2 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 278535268815 + ... + 278535269937.

Almost surely, 2^{312795107509248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312795107509248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575170186752000).

312795107509248 is an abundant number, since it is smaller than the sum of its proper divisors (837545265994752).

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

312795107509248 is a wasteful number, since it uses less digits than its factorization.

312795107509248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064 (or 2040 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 312795107509248 in words is "three hundred twelve trillion, seven hundred ninety-five billion, one hundred seven million, five hundred nine thousand, two hundred forty-eight".