2616644466162 has 128 divisors (see below), whose sum is σ = 6199895520000. Its totient is φ = 815675774976.

The previous prime is 2616644466157. The next prime is 2616644466173.

2616644466162 is a `hidden beast` number, since 2 + 6 + 16 + 6 + 4 + 4 + 4 + 6 + 616 + 2 = 666.

2616644466162 is nontrivially palindromic in base 10.

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

It is a junction number, because it is equal to n+sod(n) for n = 2616644466099 and 2616644466108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38680264 + ... + 38747852.

It is an arithmetic number, because the mean of its divisors is an integer number (48436683750).

Almost surely, 2^{2616644466162} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2616644466162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3099947760000).

2616644466162 is an abundant number, since it is smaller than the sum of its proper divisors (3583251053838).

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

2616644466162 is a wasteful number, since it uses less digits than its factorization.

2616644466162 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68105 (or 68099 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 2616644466162 in words is "two trillion, six hundred sixteen billion, six hundred forty-four million, four hundred sixty-six thousand, one hundred sixty-two".