23248549805625 has 135 divisors (see below), whose sum is σ = 42805100074737. Its totient is φ = 12155249808000.

The previous prime is 23248549805599. The next prime is 23248549805639. The reversal of 23248549805625 is 52650894584232.

The square root of 23248549805625 is 4821675.

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

23248549805625 is a `hidden beast` number, since 2 + 3 + 2 + 4 + 8 + 549 + 80 + 5 + 6 + 2 + 5 = 666.

It can be written as a sum of positive squares in 22 ways, for example, as 15023538792441 + 8225011013184 = 3876021^2 + 2867928^2 .

It is not a de Polignac number, because 23248549805625 - 2⁷ = 23248549805497 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19166157519 + ... + 19166158731.

Almost surely, 2^{23248549805625} is an apocalyptic number.

23248549805625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23248549805625 is the 4821675-th square number.

23248549805625 is the 2410838-th centered octagonal number.

It is an amenable number.

23248549805625 is a deficient number, since it is larger than the sum of its proper divisors (19556550269112).

23248549805625 is an frugal number, since it uses more digits than its factorization.

23248549805625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 1274 counting only the distinct ones).

The product of its (nonzero) digits is 165888000, while the sum is 63.

The spelling of 23248549805625 in words is "twenty-three trillion, two hundred forty-eight billion, five hundred forty-nine million, eight hundred five thousand, six hundred twenty-five".