301113450441216 has 720 divisors, whose sum is σ = 1015538539302144. Its totient is φ = 85890377244672.

The previous prime is 301113450441173. The next prime is 301113450441239. The reversal of 301113450441216 is 612144054311103.

301113450441216 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 134 + 504 + 4 + 1 + 2 + 16 = 666.

It is a super-2 number, since 2×301113450441216² (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 71 ways as a sum of consecutive naturals, for example, 52431383241 + ... + 52431388983.

Almost surely, 2^{301113450441216} is an apocalyptic number.

301113450441216 is a gapful number since it is divisible by the number (36) 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 301113450441216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507769269651072).

301113450441216 is an abundant number, since it is smaller than the sum of its proper divisors (714425088860928).

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

301113450441216 is an frugal number, since it uses more digits than its factorization.

301113450441216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6479 (or 6432 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 301113450441216 in words is "three hundred one trillion, one hundred thirteen billion, four hundred fifty million, four hundred forty-one thousand, two hundred sixteen".