11621732166 has 192 divisors, whose sum is σ = 30047846400. Its totient is φ = 3207211200.

The previous prime is 11621732141. The next prime is 11621732173. The reversal of 11621732166 is 66123712611.

11621732166 is a `hidden beast` number, since 1 + 1 + 621 + 7 + 3 + 21 + 6 + 6 = 666.

It is a super-4 number, since 4×11621732166⁴ (a number of 41 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11621732166.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26472975 + ... + 26473413.

It is an arithmetic number, because the mean of its divisors is an integer number (156499200).

Almost surely, 2^11621732166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11621732166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15023923200).

11621732166 is an abundant number, since it is smaller than the sum of its proper divisors (18426114234).

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

11621732166 is a wasteful number, since it uses less digits than its factorization.

11621732166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 735 (or 732 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The spelling of 11621732166 in words is "eleven billion, six hundred twenty-one million, seven hundred thirty-two thousand, one hundred sixty-six".