23766400513 has 8 divisors (see below), whose sum is σ = 24465123368. Its totient is φ = 23070645504.

The previous prime is 23766400487. The next prime is 23766400517. The reversal of 23766400513 is 31500466732.

It can be written as a sum of positive squares in 4 ways, for example, as 403889409 + 23362511104 = 20097^2 + 152848^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 23766400513 - 2¹⁷ = 23766269441 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23766400517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 725706 + ... + 757747.

It is an arithmetic number, because the mean of its divisors is an integer number (3058140421).

Almost surely, 2^23766400513 is an apocalyptic number.

It is an amenable number.

23766400513 is a deficient number, since it is larger than the sum of its proper divisors (698722855).

23766400513 is a wasteful number, since it uses less digits than its factorization.

23766400513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483923.

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 23766400513 in words is "twenty-three billion, seven hundred sixty-six million, four hundred thousand, five hundred thirteen".