1616177721816 has 192 divisors, whose sum is σ = 5162017985280. Its totient is φ = 447154525440.

The previous prime is 1616177721793. The next prime is 1616177721857. The reversal of 1616177721816 is 6181277716161.

1616177721816 is a `hidden beast` number, since 1 + 6 + 1 + 617 + 7 + 7 + 2 + 1 + 8 + 16 = 666.

It is a super-2 number, since 2×1616177721816² (a number of 25 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 3729355 + ... + 4140101.

It is an arithmetic number, because the mean of its divisors is an integer number (26885510340).

Almost surely, 2^{1616177721816} 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 1616177721816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2581008992640).

1616177721816 is an abundant number, since it is smaller than the sum of its proper divisors (3545840263464).

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

1616177721816 is a wasteful number, since it uses less digits than its factorization.

1616177721816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 411014 (or 411007 counting only the distinct ones).

The product of its digits is 1185408, while the sum is 54.

The spelling of 1616177721816 in words is "one trillion, six hundred sixteen billion, one hundred seventy-seven million, seven hundred twenty-one thousand, eight hundred sixteen".