23451983200801 has 2 divisors, whose sum is σ = 23451983200802. Its totient is φ = 23451983200800.

The previous prime is 23451983200739. The next prime is 23451983200853. The reversal of 23451983200801 is 10800238915432.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20100158222400 + 3351824978401 = 4483320^2 + 1830799^2 .

It is a cyclic number.

It is not a de Polignac number, because 23451983200801 - 2³⁷ = 23314544247329 is a prime.

It is not a weakly prime, because it can be changed into another prime (23451983200501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11725991600400 + 11725991600401.

It is an arithmetic number, because the mean of its divisors is an integer number (11725991600401).

Almost surely, 2^{23451983200801} is an apocalyptic number.

It is an amenable number.

23451983200801 is a deficient number, since it is larger than the sum of its proper divisors (1).

23451983200801 is an equidigital number, since it uses as much as digits as its factorization.

23451983200801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 414720, while the sum is 46.

The spelling of 23451983200801 in words is "twenty-three trillion, four hundred fifty-one billion, nine hundred eighty-three million, two hundred thousand, eight hundred one".