23744365006761 has 81 divisors (see below), whose sum is σ = 40772186086359. Its totient is φ = 13276833490368.

The previous prime is 23744365006727. The next prime is 23744365006793. The reversal of 23744365006761 is 16760056344732.

The square root of 23744365006761 is 4872819.

It is a perfect power (a square), and thus also a powerful number.

23744365006761 is a `hidden beast` number, since 2 + 3 + 7 + 44 + 36 + 500 + 6 + 7 + 61 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10321344909225 + 13423020097536 = 3212685^2 + 3663744^2 .

It is not a de Polignac number, because 23744365006761 - 2⁹ = 23744365006249 is a prime.

It is a super-3 number, since 3×23744365006761³ (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 = 23744365006698 and 23744365006707.

It is not an unprimeable number, because it can be changed into a prime (23744365001761) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4809469885 + ... + 4809474821.

Almost surely, 2^{23744365006761} is an apocalyptic number.

23744365006761 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23744365006761 is the 4872819-th square number.

23744365006761 is the 2436410-th centered octagonal number.

It is an amenable number.

23744365006761 is a deficient number, since it is larger than the sum of its proper divisors (17027821079598).

23744365006761 is an frugal number, since it uses more digits than its factorization.

23744365006761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9988 (or 4994 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 54.

The spelling of 23744365006761 in words is "twenty-three trillion, seven hundred forty-four billion, three hundred sixty-five million, six thousand, seven hundred sixty-one".