23101966141632 has 336 divisors, whose sum is σ = 79015132800000. Its totient is φ = 6599610597888.

The previous prime is 23101966141621. The next prime is 23101966141633. The reversal of 23101966141632 is 23614166910132.

23101966141632 is a `hidden beast` number, since 2 + 3 + 1 + 0 + 1 + 9 + 6 + 6 + 1 + 4 + 1 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×23101966141632² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23101966141633) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 761948169 + ... + 761978487.

Almost surely, 2^{23101966141632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23101966141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39507566400000).

23101966141632 is an abundant number, since it is smaller than the sum of its proper divisors (55913166658368).

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

23101966141632 is a wasteful number, since it uses less digits than its factorization.

23101966141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39353 (or 39330 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 23101966141632 in words is "twenty-three trillion, one hundred one billion, nine hundred sixty-six million, one hundred forty-one thousand, six hundred thirty-two".