248437224432 has 120 divisors (see below), whose sum is σ = 707753049120. Its totient is φ = 81339033600.

The previous prime is 248437224407. The next prime is 248437224437. The reversal of 248437224432 is 234422734842.

248437224432 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 372 + 244 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248437224437) 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, 1871028 + ... + 1999404.

It is an arithmetic number, because the mean of its divisors is an integer number (5897942076).

Almost surely, 2^248437224432 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 248437224432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353876524560).

248437224432 is an abundant number, since it is smaller than the sum of its proper divisors (459315824688).

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

248437224432 is a wasteful number, since it uses less digits than its factorization.

248437224432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128631 (or 128622 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 45.

The spelling of 248437224432 in words is "two hundred forty-eight billion, four hundred thirty-seven million, two hundred twenty-four thousand, four hundred thirty-two".