248547919872 has 384 divisors, whose sum is σ = 786240000000. Its totient is φ = 69775147008.

The previous prime is 248547919859. The next prime is 248547919889. The reversal of 248547919872 is 278919745842.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124335129 + ... + 124337127.

It is an arithmetic number, because the mean of its divisors is an integer number (2047500000).

Almost surely, 2^248547919872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248547919872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393120000000).

248547919872 is an abundant number, since it is smaller than the sum of its proper divisors (537692080128).

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

248547919872 is an equidigital number, since it uses as much as digits as its factorization.

248547919872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2104 (or 2070 counting only the distinct ones).

The product of its digits is 81285120, while the sum is 66.

The spelling of 248547919872 in words is "two hundred forty-eight billion, five hundred forty-seven million, nine hundred nineteen thousand, eight hundred seventy-two".