601115605116 has 96 divisors (see below), whose sum is σ = 1580688883200. Its totient is φ = 176409674496.

The previous prime is 601115605099. The next prime is 601115605141. The reversal of 601115605116 is 611506511106.

601115605116 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×601115605116² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1012191 + ... + 1492233.

It is an arithmetic number, because the mean of its divisors is an integer number (16465509200).

Almost surely, 2^601115605116 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 601115605116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790344441600).

601115605116 is an abundant number, since it is smaller than the sum of its proper divisors (979573278084).

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

601115605116 is a wasteful number, since it uses less digits than its factorization.

601115605116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480435 (or 480433 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 33.

The spelling of 601115605116 in words is "six hundred one billion, one hundred fifteen million, six hundred five thousand, one hundred sixteen".