11671097165952 has 192 divisors, whose sum is σ = 36284050735200. Its totient is φ = 3314140655616.

The previous prime is 11671097165951. The next prime is 11671097165989. The reversal of 11671097165952 is 25956179017611.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×11671097165952³ (a number of 40 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (11671097165951) 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, 1164324 + ... + 4969692.

Almost surely, 2^{11671097165952} is an apocalyptic number.

11671097165952 is a gapful number since it is divisible by the number (12) 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 11671097165952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18142025367600).

11671097165952 is an abundant number, since it is smaller than the sum of its proper divisors (24612953569248).

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

11671097165952 is a wasteful number, since it uses less digits than its factorization.

11671097165952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3805563 (or 3805544 counting only the distinct ones).

The product of its (nonzero) digits is 7144200, while the sum is 60.

The spelling of 11671097165952 in words is "eleven trillion, six hundred seventy-one billion, ninety-seven million, one hundred sixty-five thousand, nine hundred fifty-two".