11765106432 has 108 divisors (see below), whose sum is σ = 35707187880. Its totient is φ = 3715282944.

The previous prime is 11765106407. The next prime is 11765106469. The reversal of 11765106432 is 23460156711.

11765106432 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 5 + 1 + 0 + 643 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 90603 + ... + 178154.

It is an arithmetic number, because the mean of its divisors is an integer number (330622110).

Almost surely, 2^11765106432 is an apocalyptic number.

11765106432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11765106432 is an abundant number, since it is smaller than the sum of its proper divisors (23942081448).

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

11765106432 is a wasteful number, since it uses less digits than its factorization.

11765106432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268798 (or 268781 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 11765106432 in words is "eleven billion, seven hundred sixty-five million, one hundred six thousand, four hundred thirty-two".