161090007662808 has 192 divisors, whose sum is σ = 520686833040000. Its totient is φ = 46011755087424.

The previous prime is 161090007662791. The next prime is 161090007662813. The reversal of 161090007662808 is 808266700090161.

161090007662808 is a `hidden beast` number, since 1 + 6 + 1 + 0 + 9 + 0 + 0 + 0 + 7 + 6 + 628 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32609835 + ... + 37223397.

It is an arithmetic number, because the mean of its divisors is an integer number (2711910588750).

Almost surely, 2^{161090007662808} is an apocalyptic number.

161090007662808 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 161090007662808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260343416520000).

161090007662808 is an abundant number, since it is smaller than the sum of its proper divisors (359596825377192).

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

161090007662808 is a wasteful number, since it uses less digits than its factorization.

161090007662808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4616891 (or 4616874 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 161090007662808 in words is "one hundred sixty-one trillion, ninety billion, seven million, six hundred sixty-two thousand, eight hundred eight".