161011316442240 has 384 divisors, whose sum is σ = 610964257662720. Its totient is φ = 38748131573760.

The previous prime is 161011316442139. The next prime is 161011316442283. The reversal of 161011316442240 is 42244613110161.

161011316442240 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 1 + 1 + 3 + 1 + 644 + 2 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a junction number, because it is equal to n+sod(n) for n = 161011316442195 and 161011316442204.

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 47 ways as a sum of consecutive naturals, for example, 594184 + ... + 17954823.

It is an arithmetic number, because the mean of its divisors is an integer number (1591052754330).

Almost surely, 2^{161011316442240} is an apocalyptic number.

161011316442240 is a gapful number since it is divisible by the number (10) 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 161011316442240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305482128831360).

161011316442240 is an abundant number, since it is smaller than the sum of its proper divisors (449952941220480).

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

161011316442240 is a wasteful number, since it uses less digits than its factorization.

161011316442240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18549180 (or 18549165 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 161011316442240 in words is "one hundred sixty-one trillion, eleven billion, three hundred sixteen million, four hundred forty-two thousand, two hundred forty".