161097872544 has 672 divisors, whose sum is σ = 577490135040. Its totient is φ = 43220998656.

The previous prime is 161097872519. The next prime is 161097872549. The reversal of 161097872544 is 445278790161.

161097872544 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 97 + 8 + 7 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (161097872549) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 221592309 + ... + 221593035.

It is an arithmetic number, because the mean of its divisors is an integer number (859360320).

Almost surely, 2^161097872544 is an apocalyptic number.

161097872544 is a gapful number since it is divisible by the number (14) 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 161097872544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288745067520).

161097872544 is an abundant number, since it is smaller than the sum of its proper divisors (416392262496).

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

161097872544 is an equidigital number, since it uses as much as digits as its factorization.

161097872544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844 (or 821 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

It can be divided in two parts, 1610978725 and 44, that added together give a square (1610978769 = 40137²).

The spelling of 161097872544 in words is "one hundred sixty-one billion, ninety-seven million, eight hundred seventy-two thousand, five hundred forty-four".