248658920340 has 144 divisors (see below), whose sum is σ = 708836946048. Its totient is φ = 65129997312.

The previous prime is 248658920291. The next prime is 248658920353. The reversal of 248658920340 is 43029856842.

It is a happy number.

It is a congruent 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, 84090142 + ... + 84093098.

It is an arithmetic number, because the mean of its divisors is an integer number (4922478792).

Almost surely, 2^248658920340 is an apocalyptic number.

248658920340 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 248658920340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354418473024).

248658920340 is an abundant number, since it is smaller than the sum of its proper divisors (460178025708).

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

248658920340 is a wasteful number, since it uses less digits than its factorization.

248658920340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3303 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 248658920340 in words is "two hundred forty-eight billion, six hundred fifty-eight million, nine hundred twenty thousand, three hundred forty".