161166241400112 has 400 divisors, whose sum is σ = 514361375466400. Its totient is φ = 48404759445504.

The previous prime is 161166241400107. The next prime is 161166241400147. The reversal of 161166241400112 is 211004142661161.

161166241400112 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 6 + 6 + 241 + 400 + 1 + 1 + 2 = 666.

It is a super-2 number, since 2×161166241400112² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 1122122928 + ... + 1122266544.

It is an arithmetic number, because the mean of its divisors is an integer number (1285903438666).

Almost surely, 2^{161166241400112} is an apocalyptic number.

161166241400112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 161166241400112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257180687733200).

161166241400112 is an abundant number, since it is smaller than the sum of its proper divisors (353195134066288).

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

161166241400112 is a wasteful number, since it uses less digits than its factorization.

161166241400112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145242 (or 145227 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 161166241400112 in words is "one hundred sixty-one trillion, one hundred sixty-six billion, two hundred forty-one million, four hundred thousand, one hundred twelve".