305305212106152 has 256 divisors, whose sum is σ = 895475481984000. Its totient is φ = 96113115945216.

The previous prime is 305305212106123. The next prime is 305305212106163. The reversal of 305305212106152 is 251601212503503.

305305212106152 is a `hidden beast` number, since 3 + 0 + 5 + 3 + 0 + 5 + 21 + 2 + 10 + 615 + 2 = 666.

It is a super-2 number, since 2×305305212106152² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7230073663 + ... + 7230115889.

It is an arithmetic number, because the mean of its divisors is an integer number (3497951101500).

Almost surely, 2^{305305212106152} 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 305305212106152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447737740992000).

305305212106152 is an abundant number, since it is smaller than the sum of its proper divisors (590170269877848).

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

305305212106152 is a wasteful number, since it uses less digits than its factorization.

305305212106152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47685 (or 47675 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

Adding to 305305212106152 its reverse (251601212503503), we get a palindrome (556906424609655).

The spelling of 305305212106152 in words is "three hundred five trillion, three hundred five billion, two hundred twelve million, one hundred six thousand, one hundred fifty-two".