315106652322450 has 288 divisors, whose sum is σ = 907960686796800. Its totient is φ = 78115996632960.

The previous prime is 315106652322443. The next prime is 315106652322479. The reversal of 315106652322450 is 54223256601513.

315106652322450 is a `hidden beast` number, since 3 + 1 + 5 + 1 + 0 + 66 + 523 + 22 + 45 + 0 = 666.

It is a super-2 number, since 2×315106652322450² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 315106652322396 and 315106652322405.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108667327 + ... + 111529373.

It is an arithmetic number, because the mean of its divisors is an integer number (3152641273600).

Almost surely, 2^{315106652322450} is an apocalyptic number.

315106652322450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 315106652322450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453980343398400).

315106652322450 is an abundant number, since it is smaller than the sum of its proper divisors (592854034474350).

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

315106652322450 is a wasteful number, since it uses less digits than its factorization.

315106652322450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862326 (or 2862318 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 315106652322450 in words is "three hundred fifteen trillion, one hundred six billion, six hundred fifty-two million, three hundred twenty-two thousand, four hundred fifty".