248951209248 has 144 divisors (see below), whose sum is σ = 810962845056. Its totient is φ = 70964398080.

The previous prime is 248951209229. The next prime is 248951209249. The reversal of 248951209248 is 842902159842.

248951209248 is a `hidden beast` number, since 2 + 4 + 89 + 512 + 0 + 9 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 248951209194 and 248951209203.

It is not an unprimeable number, because it can be changed into a prime (248951209249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 730333 + ... + 1015523.

It is an arithmetic number, because the mean of its divisors is an integer number (5631686424).

Almost surely, 2^248951209248 is an apocalyptic number.

248951209248 is a gapful number since it is divisible by the number (28) 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 248951209248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405481422528).

248951209248 is an abundant number, since it is smaller than the sum of its proper divisors (562011635808).

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

248951209248 is a wasteful number, since it uses less digits than its factorization.

248951209248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285647 (or 285636 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 248951209248 in words is "two hundred forty-eight billion, nine hundred fifty-one million, two hundred nine thousand, two hundred forty-eight".