248129475000 has 384 divisors, whose sum is σ = 858657542400. Its totient is φ = 59254800000.

The previous prime is 248129474963. The next prime is 248129475017. The reversal of 248129475000 is 574921842.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3703424967 + ... + 3703425033.

It is an arithmetic number, because the mean of its divisors is an integer number (2236087350).

Almost surely, 2^248129475000 is an apocalyptic number.

248129475000 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 248129475000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429328771200).

248129475000 is an abundant number, since it is smaller than the sum of its proper divisors (610528067400).

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

248129475000 is an frugal number, since it uses more digits than its factorization.

248129475000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 248129475000 in words is "two hundred forty-eight billion, one hundred twenty-nine million, four hundred seventy-five thousand".