248904861072 has 160 divisors (see below), whose sum is σ = 779496037632. Its totient is φ = 66811379712.

The previous prime is 248904861071. The next prime is 248904861103. The reversal of 248904861072 is 270168409842.

248904861072 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (248904861071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3142468 + ... + 3220700.

Almost surely, 2^248904861072 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 248904861072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389748018816).

248904861072 is an abundant number, since it is smaller than the sum of its proper divisors (530591176560).

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

248904861072 is a wasteful number, since it uses less digits than its factorization.

248904861072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78825 (or 78819 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 51.

The spelling of 248904861072 in words is "two hundred forty-eight billion, nine hundred four million, eight hundred sixty-one thousand, seventy-two".