164420110121536 has 28 divisors (see below), whose sum is σ = 326764758460540. Its totient is φ = 82085682792960.

The previous prime is 164420110121507. The next prime is 164420110121563. The reversal of 164420110121536 is 635121011024461.

It can be written as a sum of positive squares in 2 ways, for example, as 145740910182400 + 18679199939136 = 12072320^2 + 4321944^2 .

It is a super-3 number, since 3×164420110121536³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 164420110121495 and 164420110121504.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1943274051 + ... + 1943358658.

Almost surely, 2^{164420110121536} is an apocalyptic number.

164420110121536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

164420110121536 is a deficient number, since it is larger than the sum of its proper divisors (162344648339004).

164420110121536 is an equidigital number, since it uses as much as digits as its factorization.

164420110121536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3886633382 (or 3886633372 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

Adding to 164420110121536 its reverse (635121011024461), we get a palindrome (799541121145997).

The spelling of 164420110121536 in words is "one hundred sixty-four trillion, four hundred twenty billion, one hundred ten million, one hundred twenty-one thousand, five hundred thirty-six".