616311113616 has 120 divisors (see below), whose sum is σ = 1883096152704. Its totient is φ = 186614081280.

The previous prime is 616311113609. The next prime is 616311113617.

616311113616 is a `hidden beast` number, since 6 + 1 + 6 + 31 + 1 + 1 + 1 + 3 + 616 = 666.

616311113616 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is not an unprimeable number, because it can be changed into a prime (616311113617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870425 + ... + 2175111.

Almost surely, 2^616311113616 is an apocalyptic number.

616311113616 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 616311113616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941548076352).

616311113616 is an abundant number, since it is smaller than the sum of its proper divisors (1266785039088).

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

616311113616 is a wasteful number, since it uses less digits than its factorization.

616311113616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305989 (or 305980 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

It can be divided in two parts, 616311 and 113616, that added together give a palindrome (729927).

The spelling of 616311113616 in words is "six hundred sixteen billion, three hundred eleven million, one hundred thirteen thousand, six hundred sixteen".