161808474240 has 1152 divisors, whose sum is σ = 686904332400. Its totient is φ = 34941763584.

The previous prime is 161808474209. The next prime is 161808474271. The reversal of 161808474240 is 42474808161.

161808474240 is a `hidden beast` number, since 1 + 6 + 180 + 8 + 47 + 424 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (161808474209) and next prime (161808474271).

It can be written as a sum of positive squares in 8 ways, for example, as 93386470464 + 68422003776 = 305592^2 + 261576^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 433802694 + ... + 433803066.

Almost surely, 2^161808474240 is an apocalyptic number.

161808474240 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 161808474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343452166200).

161808474240 is an abundant number, since it is smaller than the sum of its proper divisors (525095858160).

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

161808474240 is a wasteful number, since it uses less digits than its factorization.

161808474240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 161808474240 in words is "one hundred sixty-one billion, eight hundred eight million, four hundred seventy-four thousand, two hundred forty".