248838166100160 has 896 divisors, whose sum is σ = 1080761459097600. Its totient is φ = 52485795348480.

The previous prime is 248838166100159. The next prime is 248838166100233. The reversal of 248838166100160 is 61001661838842.

248838166100160 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 3 + 8 + 1 + 6 + 610 + 0 + 16 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 248838166100097 and 248838166100106.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2617345425 + ... + 2617440495.

It is an arithmetic number, because the mean of its divisors is an integer number (1206206985600).

Almost surely, 2^{248838166100160} is an apocalyptic number.

248838166100160 is a gapful number since it is divisible by the number (20) 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 248838166100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540380729548800).

248838166100160 is an abundant number, since it is smaller than the sum of its proper divisors (831923292997440).

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

248838166100160 is a wasteful number, since it uses less digits than its factorization.

248838166100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98446 (or 98430 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 248838166100160 in words is "two hundred forty-eight trillion, eight hundred thirty-eight billion, one hundred sixty-six million, one hundred thousand, one hundred sixty".