161122282776 has 384 divisors, whose sum is σ = 552544312320. Its totient is φ = 41280648192.

The previous prime is 161122282747. The next prime is 161122282777. The reversal of 161122282776 is 677282221161.

161122282776 is a `hidden beast` number, since 1 + 611 + 2 + 2 + 2 + 8 + 27 + 7 + 6 = 666.

It is a super-4 number, since 4×161122282776⁴ (a number of 46 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161122282777) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55500541 + ... + 55503443.

It is an arithmetic number, because the mean of its divisors is an integer number (1438917480).

Almost surely, 2^161122282776 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 161122282776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276272156160).

161122282776 is an abundant number, since it is smaller than the sum of its proper divisors (391422029544).

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

161122282776 is a wasteful number, since it uses less digits than its factorization.

161122282776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3175 (or 3168 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 161122282776 in words is "one hundred sixty-one billion, one hundred twenty-two million, two hundred eighty-two thousand, seven hundred seventy-six".