11667048064 has 128 divisors (see below), whose sum is σ = 26923104000. Its totient is φ = 4933017600.

The previous prime is 11667048053. The next prime is 11667048073. The reversal of 11667048064 is 46084076611.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×11667048064² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11667048064.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37514469 + ... + 37514779.

It is an arithmetic number, because the mean of its divisors is an integer number (210336750).

Almost surely, 2^11667048064 is an apocalyptic number.

11667048064 is a gapful number since it is divisible by the number (14) 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 11667048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13461552000).

11667048064 is an abundant number, since it is smaller than the sum of its proper divisors (15256055936).

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

11667048064 is a wasteful number, since it uses less digits than its factorization.

11667048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 11667048064 in words is "eleven billion, six hundred sixty-seven million, forty-eight thousand, sixty-four".