248505919152 has 80 divisors (see below), whose sum is σ = 646997339520. Its totient is φ = 82187836416.

The previous prime is 248505919111. The next prime is 248505919219. The reversal of 248505919152 is 251919505842.

It is a junction number, because it is equal to n+sod(n) for n = 248505919095 and 248505919104.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11485048 + ... + 11506664.

It is an arithmetic number, because the mean of its divisors is an integer number (8087466744).

Almost surely, 2^248505919152 is an apocalyptic number.

It is an amenable number.

248505919152 is an abundant number, since it is smaller than the sum of its proper divisors (398491420368).

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

248505919152 is a wasteful number, since it uses less digits than its factorization.

248505919152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23490 (or 23484 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 51.

The spelling of 248505919152 in words is "two hundred forty-eight billion, five hundred five million, nine hundred nineteen thousand, one hundred fifty-two".