11667536352 has 48 divisors (see below), whose sum is σ = 34030316880. Its totient is φ = 3889178496.

The previous prime is 11667536333. The next prime is 11667536357. The reversal of 11667536352 is 25363576611.

11667536352 is a `hidden beast` number, since 1 + 1 + 6 + 6 + 7 + 5 + 3 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11667536352² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11667536298 and 11667536307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11667536357) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6751183 + ... + 6752910.

It is an arithmetic number, because the mean of its divisors is an integer number (708964935).

Almost surely, 2^11667536352 is an apocalyptic number.

11667536352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11667536352 is an abundant number, since it is smaller than the sum of its proper divisors (22362780528).

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

11667536352 is a wasteful number, since it uses less digits than its factorization.

11667536352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13504112 (or 13504098 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The spelling of 11667536352 in words is "eleven billion, six hundred sixty-seven million, five hundred thirty-six thousand, three hundred fifty-two".