23454988011225 has 135 divisors (see below), whose sum is σ = 43716051026989. Its totient is φ = 12432264566400.

The previous prime is 23454988011211. The next prime is 23454988011241. The reversal of 23454988011225 is 52211088945432.

The square root of 23454988011225 is 4843035.

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

23454988011225 is a `hidden beast` number, since 2 + 3 + 4 + 549 + 8 + 80 + 1 + 12 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 33376001481 + 23421612009744 = 182691^2 + 4839588^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 23454988011225 - 2⁴¹ = 21255964755673 is a prime.

It is a Duffinian number.

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, 61240177384 + ... + 61240177766.

Almost surely, 2^{23454988011225} is an apocalyptic number.

23454988011225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

23454988011225 is the 4843035-th square number.

23454988011225 is the 2421518-th centered octagonal number.

It is an amenable number.

23454988011225 is a deficient number, since it is larger than the sum of its proper divisors (20261063015764).

23454988011225 is an frugal number, since it uses more digits than its factorization.

23454988011225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 672 counting only the distinct ones).

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

The spelling of 23454988011225 in words is "twenty-three trillion, four hundred fifty-four billion, nine hundred eighty-eight million, eleven thousand, two hundred twenty-five".