161606079468400 has 480 divisors, whose sum is σ = 452827874304000. Its totient is φ = 54285684710400.

The previous prime is 161606079468397. The next prime is 161606079468433. The reversal of 161606079468400 is 4864970606161.

It is a super-2 number, since 2×161606079468400² (a number of 29 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, 10273088535 + ... + 10273104265.

It is an arithmetic number, because the mean of its divisors is an integer number (943391404800).

Almost surely, 2^{161606079468400} is an apocalyptic number.

161606079468400 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 161606079468400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226413937152000).

161606079468400 is an abundant number, since it is smaller than the sum of its proper divisors (291221794835600).

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

161606079468400 is a wasteful number, since it uses less digits than its factorization.

161606079468400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16237 (or 16226 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 58.

The spelling of 161606079468400 in words is "one hundred sixty-one trillion, six hundred six billion, seventy-nine million, four hundred sixty-eight thousand, four hundred".