23634345310681 has 24 divisors (see below), whose sum is σ = 27572931666504. Its totient is φ = 20199132011520.

The previous prime is 23634345310679. The next prime is 23634345310759. The reversal of 23634345310681 is 18601354343632.

It can be written as a sum of positive squares in 4 ways, for example, as 6152049225 + 23628193261456 = 78435^2 + 4860884^2 .

It is not a de Polignac number, because 23634345310681 - 2¹ = 23634345310679 is a prime.

It is a super-2 number, since 2×23634345310681² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (23634345310601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 279148551 + ... + 279233203.

It is an arithmetic number, because the mean of its divisors is an integer number (1148872152771).

Almost surely, 2^{23634345310681} is an apocalyptic number.

It is an amenable number.

23634345310681 is a deficient number, since it is larger than the sum of its proper divisors (3938586355823).

23634345310681 is a wasteful number, since it uses less digits than its factorization.

23634345310681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101161 (or 101154 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 49.

The spelling of 23634345310681 in words is "twenty-three trillion, six hundred thirty-four billion, three hundred forty-five million, three hundred ten thousand, six hundred eighty-one".