161083701792 has 288 divisors, whose sum is σ = 520670142720. Its totient is φ = 46830182400.

The previous prime is 161083701791. The next prime is 161083701827. The reversal of 161083701792 is 297107380161.

161083701792 is a `hidden beast` number, since 1 + 6 + 108 + 370 + 179 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×161083701792² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (161083701791) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28522713 + ... + 28528359.

It is an arithmetic number, because the mean of its divisors is an integer number (1807882440).

Almost surely, 2^161083701792 is an apocalyptic number.

161083701792 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 161083701792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260335071360).

161083701792 is an abundant number, since it is smaller than the sum of its proper divisors (359586440928).

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

161083701792 is a wasteful number, since it uses less digits than its factorization.

161083701792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6096 (or 6085 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 45.

The spelling of 161083701792 in words is "one hundred sixty-one billion, eighty-three million, seven hundred one thousand, seven hundred ninety-two".