248891616 has 120 divisors (see below), whose sum is σ = 738577224. Its totient is φ = 82218240.

The previous prime is 248891597. The next prime is 248891641. The reversal of 248891616 is 616198842.

248891616 is a `hidden beast` number, since 2 + 488 + 9 + 161 + 6 = 666.

248891616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 339186 + ... + 339918.

Almost surely, 2^248891616 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 248891616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (369288612).

248891616 is an abundant number, since it is smaller than the sum of its proper divisors (489685608).

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

248891616 is a wasteful number, since it uses less digits than its factorization.

248891616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 869 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 248891616 is about 15776.2991858040. The cubic root of 248891616 is about 629.0281614759.

The spelling of 248891616 in words is "two hundred forty-eight million, eight hundred ninety-one thousand, six hundred sixteen".