11664141632 has 224 divisors, whose sum is σ = 28066227840. Its totient is φ = 4739604480.

The previous prime is 11664141617. The next prime is 11664141647. The reversal of 11664141632 is 23614146611.

11664141632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11664141617) and next prime (11664141647).

It is a super-2 number, since 2×11664141632² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11664141592 and 11664141601.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 67422698 + ... + 67422870.

It is an arithmetic number, because the mean of its divisors is an integer number (125295660).

Almost surely, 2^11664141632 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 11664141632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14033113920).

11664141632 is an abundant number, since it is smaller than the sum of its proper divisors (16402086208).

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

11664141632 is a wasteful number, since it uses less digits than its factorization.

11664141632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 391 counting only the distinct ones).

The product of its digits is 20736, while the sum is 35.

The spelling of 11664141632 in words is "eleven billion, six hundred sixty-four million, one hundred forty-one thousand, six hundred thirty-two".