23661540258048 has 1728 divisors, whose sum is σ = 89628844032000. Its totient is φ = 5873198284800.

The previous prime is 23661540257969. The next prime is 23661540258067. The reversal of 23661540258048 is 84085204516632.

23661540258048 is a `hidden beast` number, since 2 + 3 + 6 + 6 + 1 + 54 + 0 + 2 + 580 + 4 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 23661540257985 and 23661540258003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118902212253 + ... + 118902212451.

It is an arithmetic number, because the mean of its divisors is an integer number (51868544000).

Almost surely, 2^{23661540258048} is an apocalyptic number.

23661540258048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23661540258048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44814422016000).

23661540258048 is an abundant number, since it is smaller than the sum of its proper divisors (65967303773952).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23661540258048 is a wasteful number, since it uses less digits than its factorization.

23661540258048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 23661540258048 in words is "twenty-three trillion, six hundred sixty-one billion, five hundred forty million, two hundred fifty-eight thousand, forty-eight".