305413531642016 has 144 divisors (see below), whose sum is σ = 723588674135040. Its totient is φ = 126374846492160.

The previous prime is 305413531642003. The next prime is 305413531642069. The reversal of 305413531642016 is 610246135314503.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2958493121 + ... + 2958596351.

It is an arithmetic number, because the mean of its divisors is an integer number (5024921348160).

Almost surely, 2^{305413531642016} 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 305413531642016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361794337067520).

305413531642016 is an abundant number, since it is smaller than the sum of its proper divisors (418175142493024).

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

305413531642016 is a wasteful number, since it uses less digits than its factorization.

305413531642016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168347 (or 168332 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

Adding to 305413531642016 its reverse (610246135314503), we get a palindrome (915659666956519).

The spelling of 305413531642016 in words is "three hundred five trillion, four hundred thirteen billion, five hundred thirty-one million, six hundred forty-two thousand, sixteen".