11452166208 has 336 divisors, whose sum is σ = 39585960960. Its totient is φ = 3214785024.

The previous prime is 11452166189. The next prime is 11452166269. The reversal of 11452166208 is 80266125411.

It is a happy number.

11452166208 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 21 + 6 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×11452166208² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6422085 + ... + 6423867.

It is an arithmetic number, because the mean of its divisors is an integer number (117815360).

Almost surely, 2^11452166208 is an apocalyptic number.

11452166208 is a gapful number since it is divisible by the number (18) 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 11452166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19792980480).

11452166208 is an abundant number, since it is smaller than the sum of its proper divisors (28133794752).

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

11452166208 is an equidigital number, since it uses as much as digits as its factorization.

11452166208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1876 (or 1854 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 11452166208 in words is "eleven billion, four hundred fifty-two million, one hundred sixty-six thousand, two hundred eight".