164406656506016 has 24 divisors (see below), whose sum is σ = 323680010206644. Its totient is φ = 82202209469440.

The previous prime is 164406656506013. The next prime is 164406656506031. The reversal of 164406656506016 is 610605656604461.

It can be written as a sum of positive squares in 2 ways, for example, as 159207362707600 + 5199293798416 = 12617740^2 + 2280196^2 .

It is a super-3 number, since 3×164406656506016³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (164406656506013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 32571515 + ... + 37278906.

Almost surely, 2^{164406656506016} is an apocalyptic number.

164406656506016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164406656506016 is a deficient number, since it is larger than the sum of its proper divisors (159273353700628).

164406656506016 is an equidigital number, since it uses as much as digits as its factorization.

164406656506016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69923984 (or 69923976 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 56.

The spelling of 164406656506016 in words is "one hundred sixty-four trillion, four hundred six billion, six hundred fifty-six million, five hundred six thousand, sixteen".