164497583773890 has 96 divisors (see below), whose sum is σ = 430092360000576. Its totient is φ = 43620047994240.

The previous prime is 164497583773877. The next prime is 164497583773949. The reversal of 164497583773890 is 98377385794461.

164497583773890 is a `hidden beast` number, since 1 + 6 + 4 + 4 + 97 + 5 + 83 + 77 + 389 + 0 = 666.

It is a super-2 number, since 2×164497583773890² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 198764889 + ... + 199590771.

It is an arithmetic number, because the mean of its divisors is an integer number (4480128750006).

Almost surely, 2^{164497583773890} is an apocalyptic number.

164497583773890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 164497583773890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215046180000288).

164497583773890 is an abundant number, since it is smaller than the sum of its proper divisors (265594776226686).

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

164497583773890 is a wasteful number, since it uses less digits than its factorization.

164497583773890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838304 (or 838301 counting only the distinct ones).

The product of its (nonzero) digits is 7681443840, while the sum is 81.

The spelling of 164497583773890 in words is "one hundred sixty-four trillion, four hundred ninety-seven billion, five hundred eighty-three million, seven hundred seventy-three thousand, eight hundred ninety".