248671849500 has 192 divisors, whose sum is σ = 807808135680. Its totient is φ = 66047400000.

The previous prime is 248671849471. The next prime is 248671849507. The reversal of 248671849500 is 5948176842.

It is a happy number.

248671849500 is a `hidden beast` number, since 2 + 4 + 86 + 7 + 18 + 49 + 500 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248671849507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3351807 + ... + 3425193.

It is an arithmetic number, because the mean of its divisors is an integer number (4207334040).

Almost surely, 2^248671849500 is an apocalyptic number.

248671849500 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 248671849500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403904067840).

248671849500 is an abundant number, since it is smaller than the sum of its proper divisors (559136286180).

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

248671849500 is a wasteful number, since it uses less digits than its factorization.

248671849500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73666 (or 73648 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 248671849500 in words is "two hundred forty-eight billion, six hundred seventy-one million, eight hundred forty-nine thousand, five hundred".