23456605973153 has 2 divisors, whose sum is σ = 23456605973154. Its totient is φ = 23456605973152.

The previous prime is 23456605973149. The next prime is 23456605973161. The reversal of 23456605973153 is 35137950665432.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 13426412938849 + 10030193034304 = 3664207^2 + 3167048^2 .

It is a cyclic number.

It is not a de Polignac number, because 23456605973153 - 2² = 23456605973149 is a prime.

It is a super-3 number, since 3×23456605973153³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 23456605973092 and 23456605973101.

It is not a weakly prime, because it can be changed into another prime (23456605973173) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11728302986576 + 11728302986577.

It is an arithmetic number, because the mean of its divisors is an integer number (11728302986577).

Almost surely, 2^{23456605973153} is an apocalyptic number.

It is an amenable number.

23456605973153 is a deficient number, since it is larger than the sum of its proper divisors (1).

23456605973153 is an equidigital number, since it uses as much as digits as its factorization.

23456605973153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 61236000, while the sum is 59.

The spelling of 23456605973153 in words is "twenty-three trillion, four hundred fifty-six billion, six hundred five million, nine hundred seventy-three thousand, one hundred fifty-three".