23742000641 has 16 divisors (see below), whose sum is σ = 25826523984. Its totient is φ = 21734313984.

The previous prime is 23742000637. The next prime is 23742000671. The reversal of 23742000641 is 14600024732.

It can be written as a sum of positive squares in 8 ways, for example, as 13405008400 + 10336992241 = 115780^2 + 101671^2 .

It is a cyclic number.

It is not a de Polignac number, because 23742000641 - 2² = 23742000637 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23742000671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3287951 + ... + 3295163.

It is an arithmetic number, because the mean of its divisors is an integer number (1614157749).

Almost surely, 2^23742000641 is an apocalyptic number.

23742000641 is the 88961-st octagonal number.

It is an amenable number.

23742000641 is a deficient number, since it is larger than the sum of its proper divisors (2084523343).

23742000641 is a wasteful number, since it uses less digits than its factorization.

23742000641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500.

The product of its (nonzero) digits is 8064, while the sum is 29.

The spelling of 23742000641 in words is "twenty-three billion, seven hundred forty-two million, six hundred forty-one", and thus it is an aban number.