248181164 has 144 divisors (see below), whose sum is σ = 600606720. Its totient is φ = 87436800.

The previous prime is 248181149. The next prime is 248181223. The reversal of 248181164 is 461181842.

It is a happy number.

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, 1785407 + ... + 1785545.

It is an arithmetic number, because the mean of its divisors is an integer number (4170880).

Almost surely, 2^248181164 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 248181164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300303360).

248181164 is an abundant number, since it is smaller than the sum of its proper divisors (352425556).

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

248181164 is a wasteful number, since it uses less digits than its factorization.

248181164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 207 counting only the distinct ones).

The product of its digits is 12288, while the sum is 35.

The square root of 248181164 is about 15753.7666607069. The cubic root of 248181164 is about 628.4290784793.

The spelling of 248181164 in words is "two hundred forty-eight million, one hundred eighty-one thousand, one hundred sixty-four".