23007381153201 has 81 divisors (see below), whose sum is σ = 35582329740321. Its totient is φ = 14322573840384.

The previous prime is 23007381153181. The next prime is 23007381153233. The reversal of 23007381153201 is 10235118370032.

It is a happy number.

The square root of 23007381153201 is 4796601.

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

23007381153201 is a `hidden beast` number, since 2 + 300 + 7 + 38 + 115 + 3 + 201 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16239682962801 + 6767698190400 = 4029849^2 + 2601480^2 .

It is not a de Polignac number, because 23007381153201 - 2¹³ = 23007381145009 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23007381153271) 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, 39874143825 + ... + 39874144401.

Almost surely, 2^{23007381153201} is an apocalyptic number.

23007381153201 is the 4796601-st square number.

23007381153201 is the 2398301-st centered octagonal number.

It is an amenable number.

23007381153201 is a deficient number, since it is larger than the sum of its proper divisors (12574948587120).

23007381153201 is an frugal number, since it uses more digits than its factorization.

23007381153201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Multiplying 23007381153201 by its sum of digits (36), we get a square (828265721515236 = 28779606²).

The spelling of 23007381153201 in words is "twenty-three trillion, seven billion, three hundred eighty-one million, one hundred fifty-three thousand, two hundred one".