161336642863968 has 1920 divisors, whose sum is σ = 597506595840000. Its totient is φ = 41954455388160.

The previous prime is 161336642863937. The next prime is 161336642863993. The reversal of 161336642863968 is 869368246633161.

161336642863968 is a `hidden beast` number, since 1 + 6 + 1 + 336 + 6 + 4 + 286 + 3 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 161336642863896 and 161336642863905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 224390323513 + ... + 224390324231.

It is an arithmetic number, because the mean of its divisors is an integer number (311201352000).

Almost surely, 2^{161336642863968} is an apocalyptic number.

161336642863968 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 161336642863968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298753297920000).

161336642863968 is an abundant number, since it is smaller than the sum of its proper divisors (436169952976032).

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

161336642863968 is a wasteful number, since it uses less digits than its factorization.

161336642863968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1153 counting only the distinct ones).

The product of its digits is 967458816, while the sum is 72.

The spelling of 161336642863968 in words is "one hundred sixty-one trillion, three hundred thirty-six billion, six hundred forty-two million, eight hundred sixty-three thousand, nine hundred sixty-eight".