10011632241465 has 24 divisors (see below), whose sum is σ = 17429275361160. Its totient is φ = 5316220433664.

The previous prime is 10011632241463. The next prime is 10011632241539. The reversal of 10011632241465 is 56414223611001.

10011632241465 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 1 + 632 + 2 + 4 + 14 + 6 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5213061603369 + 4798570638096 = 2283213^2 + 2190564^2 .

It is not a de Polignac number, because 10011632241465 - 2¹ = 10011632241463 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10011632241463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 485755452 + ... + 485776061.

It is an arithmetic number, because the mean of its divisors is an integer number (726219806715).

Almost surely, 2^{10011632241465} is an apocalyptic number.

10011632241465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10011632241465 is a deficient number, since it is larger than the sum of its proper divisors (7417643119695).

10011632241465 is a wasteful number, since it uses less digits than its factorization.

10011632241465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971531753 (or 971531750 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 10011632241465 its reverse (56414223611001), we get a palindrome (66425855852466).

The spelling of 10011632241465 in words is "ten trillion, eleven billion, six hundred thirty-two million, two hundred forty-one thousand, four hundred sixty-five".