315450224664030 has 192 divisors, whose sum is σ = 865959423713280. Its totient is φ = 79450837804800.

The previous prime is 315450224663971. The next prime is 315450224664053. The reversal of 315450224664030 is 30466422054513.

315450224664030 is a `hidden beast` number, since 3 + 1 + 54 + 50 + 22 + 466 + 40 + 30 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1559287185 + ... + 1559489475.

It is an arithmetic number, because the mean of its divisors is an integer number (4510205331840).

Almost surely, 2^{315450224664030} is an apocalyptic number.

315450224664030 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 315450224664030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432979711856640).

315450224664030 is an abundant number, since it is smaller than the sum of its proper divisors (550509199049250).

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

315450224664030 is a wasteful number, since it uses less digits than its factorization.

315450224664030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205087 (or 205084 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 315450224664030 in words is "three hundred fifteen trillion, four hundred fifty billion, two hundred twenty-four million, six hundred sixty-four thousand, thirty".