16164862508025 has 405 divisors, whose sum is σ = 37658551113183. Its totient is φ = 6604002820800.

The previous prime is 16164862507951. The next prime is 16164862508027. The reversal of 16164862508025 is 52080526846161.

The square root of 16164862508025 is 4020555.

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

16164862508025 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 4 + 8 + 625 + 0 + 8 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5819350502889 + 10345512005136 = 2412333^2 + 3216444^2 .

It is not a de Polignac number, because 16164862508025 - 2¹¹ = 16164862505977 is a prime.

It is a super-2 number, since 2×16164862508025² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16164862508027) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 273980720446 + ... + 273980720504.

Almost surely, 2^{16164862508025} is an apocalyptic number.

16164862508025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16164862508025 is the 4020555-th square number.

16164862508025 is the 2010278-th centered octagonal number.

It is an amenable number.

16164862508025 is an abundant number, since it is smaller than the sum of its proper divisors (21493688605158).

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

16164862508025 is an frugal number, since it uses more digits than its factorization.

16164862508025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 16164862508025 in words is "sixteen trillion, one hundred sixty-four billion, eight hundred sixty-two million, five hundred eight thousand, twenty-five".