161602813362672 has 120 divisors (see below), whose sum is σ = 493483754125440. Its totient is φ = 48960081229440.

The previous prime is 161602813362667. The next prime is 161602813362677. The reversal of 161602813362672 is 276263318206161.

161602813362672 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 0 + 2 + 8 + 1 + 3 + 3 + 626 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (161602813362667) and next prime (161602813362677).

It is a super-2 number, since 2×161602813362672² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (161602813362677) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3490578 + ... + 18313649.

It is an arithmetic number, because the mean of its divisors is an integer number (4112364617712).

Almost surely, 2^{161602813362672} is an apocalyptic number.

161602813362672 is a gapful number since it is divisible by the number (12) 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 161602813362672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246741877062720).

161602813362672 is an abundant number, since it is smaller than the sum of its proper divisors (331880940762768).

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

161602813362672 is a wasteful number, since it uses less digits than its factorization.

161602813362672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21808931 (or 21808922 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 161602813362672 in words is "one hundred sixty-one trillion, six hundred two billion, eight hundred thirteen million, three hundred sixty-two thousand, six hundred seventy-two".