161846605440 has 1280 divisors, whose sum is σ = 658197872640. Its totient is φ = 37623398400.

The previous prime is 161846605411. The next prime is 161846605447. The reversal of 161846605440 is 44506648161.

161846605440 is a `hidden beast` number, since 1 + 6 + 1 + 8 + 46 + 60 + 544 + 0 = 666.

161846605440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (161846605447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1274382657 + ... + 1274382783.

It is an arithmetic number, because the mean of its divisors is an integer number (514217088).

Almost surely, 2^161846605440 is an apocalyptic number.

161846605440 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 161846605440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329098936320).

161846605440 is an abundant number, since it is smaller than the sum of its proper divisors (496351267200).

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

161846605440 is a wasteful number, since it uses less digits than its factorization.

161846605440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 161846605440 in words is "one hundred sixty-one billion, eight hundred forty-six million, six hundred five thousand, four hundred forty".