4315315470336 has 192 divisors, whose sum is σ = 13425232979340. Its totient is φ = 1327788195840.

The previous prime is 4315315470293. The next prime is 4315315470437. The reversal of 4315315470336 is 6330745135134.

4315315470336 is a `hidden beast` number, since 4 + 31 + 531 + 54 + 7 + 0 + 3 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3979546214400 + 335769255936 = 1994880^2 + 579456^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 4315315470291 and 4315315470300.

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 11 ways as a sum of consecutive naturals, for example, 3271066 + ... + 4396646.

Almost surely, 2^{4315315470336} 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 4315315470336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6712616489670).

4315315470336 is an abundant number, since it is smaller than the sum of its proper divisors (9109917509004).

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

4315315470336 is a wasteful number, since it uses less digits than its factorization.

4315315470336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125630 (or 1125599 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 4315315470336 in words is "four trillion, three hundred fifteen billion, three hundred fifteen million, four hundred seventy thousand, three hundred thirty-six".