161295161328 has 480 divisors, whose sum is σ = 544145172480. Its totient is φ = 45304842240.

The previous prime is 161295161299. The next prime is 161295161411. The reversal of 161295161328 is 823161592161.

It is a happy number.

161295161328 is a `hidden beast` number, since 1 + 6 + 1 + 2 + 9 + 5 + 1 + 613 + 28 = 666.

It is a super-2 number, since 2×161295161328² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 674875033 + ... + 674875271.

It is an arithmetic number, because the mean of its divisors is an integer number (1133635776).

Almost surely, 2^161295161328 is an apocalyptic number.

161295161328 is a gapful number since it is divisible by the number (18) 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 161295161328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272072586240).

161295161328 is an abundant number, since it is smaller than the sum of its proper divisors (382850011152).

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

161295161328 is a wasteful number, since it uses less digits than its factorization.

161295161328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 569 counting only the distinct ones).

The product of its digits is 155520, while the sum is 45.

The spelling of 161295161328 in words is "one hundred sixty-one billion, two hundred ninety-five million, one hundred sixty-one thousand, three hundred twenty-eight".