248231900160 has 880 divisors, whose sum is σ = 952413978384. Its totient is φ = 61605937152.

The previous prime is 248231900113. The next prime is 248231900167. The reversal of 248231900160 is 61009132842.

248231900160 is a `hidden beast` number, since 2 + 482 + 3 + 19 + 0 + 0 + 160 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 47154991104 + 201076909056 = 217152^2 + 448416^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248231900167) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 965882752 + ... + 965883008.

Almost surely, 2^248231900160 is an apocalyptic number.

248231900160 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 248231900160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476206989192).

248231900160 is an abundant number, since it is smaller than the sum of its proper divisors (704182078224).

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

248231900160 is a wasteful number, since it uses less digits than its factorization.

248231900160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 248231900160 in words is "two hundred forty-eight billion, two hundred thirty-one million, nine hundred thousand, one hundred sixty".