201166848 has 208 divisors, whose sum is σ = 636932160. Its totient is φ = 62521344.

The previous prime is 201166829. The next prime is 201166873. The reversal of 201166848 is 848661102.

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 15 ways as a sum of consecutive naturals, for example, 1880011 + ... + 1880117.

Almost surely, 2^201166848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201166848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318466080).

201166848 is an abundant number, since it is smaller than the sum of its proper divisors (435765312).

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

201166848 is a wasteful number, since it uses less digits than its factorization.

201166848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 201166848 is about 14183.3299334113. The cubic root of 201166848 is about 585.9386377834.

The spelling of 201166848 in words is "two hundred one million, one hundred sixty-six thousand, eight hundred forty-eight".