611211112116 has 96 divisors (see below), whose sum is σ = 1559608114176. Its totient is φ = 184763904000.

The previous prime is 611211112103. The next prime is 611211112129.

611211112116 is nontrivially palindromic in base 10.

611211112116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (611211112103) and next prime (611211112129).

It is a nude number because it is divisible by every one of its digits.

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, 125477161 + ... + 125482031.

It is an arithmetic number, because the mean of its divisors is an integer number (16245917856).

Almost surely, 2^611211112116 is an apocalyptic number.

611211112116 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

611211112116 is an abundant number, since it is smaller than the sum of its proper divisors (948397002060).

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

611211112116 is a wasteful number, since it uses less digits than its factorization.

611211112116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7013 (or 7011 counting only the distinct ones).

The product of its digits is 144, while the sum is 24.

It can be divided in two parts, 611211 and 112116, that added together give a palindrome (723327).

The spelling of 611211112116 in words is "six hundred eleven billion, two hundred eleven million, one hundred twelve thousand, one hundred sixteen".