610618505816016 has 160 divisors (see below), whose sum is σ = 1777585512960000. Its totient is φ = 200650358240640.

The previous prime is 610618505816009. The next prime is 610618505816017.

It is a happy number.

610618505816016 is a `hidden beast` number, since 6 + 1 + 0 + 6 + 1 + 8 + 50 + 581 + 6 + 0 + 1 + 6 = 666.

610618505816016 is nontrivially palindromic in base 10.

610618505816016 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 2×610618505816016² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (610618505816017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274911205 + ... + 277123451.

It is an arithmetic number, because the mean of its divisors is an integer number (11109909456000).

Almost surely, 2^{610618505816016} 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 610618505816016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (888792756480000).

610618505816016 is an abundant number, since it is smaller than the sum of its proper divisors (1166967007143984).

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

610618505816016 is a wasteful number, since it uses less digits than its factorization.

610618505816016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221334 (or 2221322 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

It can be divided in two parts, 61061850 and 5816016, that added together give a palindrome (66877866).

The spelling of 610618505816016 in words is "six hundred ten trillion, six hundred eighteen billion, five hundred five million, eight hundred sixteen thousand, sixteen".