305445105152 has 120 divisors (see below), whose sum is σ = 672767127648. Its totient is φ = 138435461120.

The previous prime is 305445105151. The next prime is 305445105169. The reversal of 305445105152 is 251501544503.

It is a super-2 number, since 2×305445105152² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (305445105151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21862073 + ... + 21876039.

Almost surely, 2^305445105152 is an apocalyptic number.

305445105152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 305445105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336383563824).

305445105152 is an abundant number, since it is smaller than the sum of its proper divisors (367322022496).

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

305445105152 is a wasteful number, since it uses less digits than its factorization.

305445105152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14360 (or 14333 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

Adding to 305445105152 its reverse (251501544503), we get a palindrome (556946649655).

The spelling of 305445105152 in words is "three hundred five billion, four hundred forty-five million, one hundred five thousand, one hundred fifty-two".