23181769415025 has 81 divisors (see below), whose sum is σ = 44962565588577. Its totient is φ = 11412101188800.

The previous prime is 23181769414931. The next prime is 23181769415027. The reversal of 23181769415025 is 52051496718132.

The square root of 23181769415025 is 4814745.

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

23181769415025 is a `hidden beast` number, since 2 + 31 + 8 + 1 + 7 + 69 + 41 + 502 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5975135359281 + 17206634055744 = 2444409^2 + 4148088^2 .

It is not a de Polignac number, because 23181769415025 - 2¹⁵ = 23181769382257 is a prime.

It is a super-2 number, since 2×23181769415025² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23181769415027) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 938862930 + ... + 938887620.

It is a 1-persistent number, because it is pandigital, but 2⋅23181769415025 = 46363538830050 is not.

Almost surely, 2^{23181769415025} is an apocalyptic number.

23181769415025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23181769415025 is the 4814745-th square number.

23181769415025 is the 2407373-rd centered octagonal number.

It is an amenable number.

23181769415025 is a deficient number, since it is larger than the sum of its proper divisors (21780796173552).

23181769415025 is an frugal number, since it uses more digits than its factorization.

23181769415025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49424 (or 24712 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 23181769415025 in words is "twenty-three trillion, one hundred eighty-one billion, seven hundred sixty-nine million, four hundred fifteen thousand, twenty-five".