22161641616 has 60 divisors (see below), whose sum is σ = 62033088780. Its totient is φ = 7385871360.

The previous prime is 22161641603. The next prime is 22161641633. The reversal of 22161641616 is 61614616122.

22161641616 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 1 + 641 + 6 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13326393600 + 8835248016 = 115440^2 + 93996^2 .

It is a super-2 number, since 2×22161641616² (a number of 21 digits) contains 22 as substring.

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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1073956 + ... + 1094396.

It is an arithmetic number, because the mean of its divisors is an integer number (1033884813).

Almost surely, 2^22161641616 is an apocalyptic number.

It is an amenable number.

22161641616 is an abundant number, since it is smaller than the sum of its proper divisors (39871447164).

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

22161641616 is a wasteful number, since it uses less digits than its factorization.

22161641616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27984 (or 27975 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The spelling of 22161641616 in words is "twenty-two billion, one hundred sixty-one million, six hundred forty-one thousand, six hundred sixteen".