164234733468100 has 27 divisors (see below), whose sum is σ = 356389649720391. Its totient is φ = 65693842125600.

The previous prime is 164234733468083. The next prime is 164234733468121. The reversal of 164234733468100 is 1864337432461.

The square root of 164234733468100 is 12815410.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 6831814523076 + 157402918945024 = 2613774^2 + 12546032^2 .

It is a super-2 number, since 2×164234733468100² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 127513330 + ... + 128794870.

Almost surely, 2^{164234733468100} is an apocalyptic number.

164234733468100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164234733468100 is the 12815410-th square number.

It is an amenable number.

164234733468100 is an abundant number, since it is smaller than the sum of its proper divisors (192154916252291).

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

164234733468100 is an frugal number, since it uses more digits than its factorization.

164234733468100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563096 (or 1281548 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 52.

The spelling of 164234733468100 in words is "one hundred sixty-four trillion, two hundred thirty-four billion, seven hundred thirty-three million, four hundred sixty-eight thousand, one hundred".