164025652562500 has 63 divisors (see below), whose sum is σ = 358808526274107. Its totient is φ = 65608980300000.

The previous prime is 164025652562459. The next prime is 164025652562509. The reversal of 164025652562500 is 5265256520461.

The square root of 164025652562500 is 12807250.

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

It can be written as a sum of positive squares in 10 ways, for example, as 81366425471556 + 82659227090944 = 9020334^2 + 9091712^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164025652562509) 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 20 ways as a sum of consecutive naturals, for example, 3201786886 + ... + 3201838114.

Almost surely, 2^{164025652562500} is an apocalyptic number.

164025652562500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164025652562500 is the 12807250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164025652562500

164025652562500 is an abundant number, since it is smaller than the sum of its proper divisors (194782873711607).

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

164025652562500 is an frugal number, since it uses more digits than its factorization.

164025652562500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102492 (or 51236 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 49.

The spelling of 164025652562500 in words is "one hundred sixty-four trillion, twenty-five billion, six hundred fifty-two million, five hundred sixty-two thousand, five hundred".