611645464546116 has 288 divisors, whose sum is σ = 1930809562321920. Its totient is φ = 146641511427840.

The previous prime is 611645464546073. The next prime is 611645464546177.

611645464546116 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×611645464546116² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 611645464546116.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3243349915 + ... + 3243538493.

Almost surely, 2^{611645464546116} is an apocalyptic number.

611645464546116 is a gapful number since it is divisible by the number (66) 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 611645464546116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (965404781160960).

611645464546116 is an abundant number, since it is smaller than the sum of its proper divisors (1319164097775804).

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

611645464546116 is a wasteful number, since it uses less digits than its factorization.

611645464546116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213175 (or 213162 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 60.

The spelling of 611645464546116 in words is "six hundred eleven trillion, six hundred forty-five billion, four hundred sixty-four million, five hundred forty-six thousand, one hundred sixteen".