248002225632 has 240 divisors, whose sum is σ = 835042934880. Its totient is φ = 70731988992.

The previous prime is 248002225631. The next prime is 248002225643. The reversal of 248002225632 is 236522200842.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248002225631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10457244 + ... + 10480932.

It is an arithmetic number, because the mean of its divisors is an integer number (3479345562).

Almost surely, 2^248002225632 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 248002225632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417521467440).

248002225632 is an abundant number, since it is smaller than the sum of its proper divisors (587040709248).

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

248002225632 is a wasteful number, since it uses less digits than its factorization.

248002225632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24295 (or 24278 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 248002225632 in words is "two hundred forty-eight billion, two million, two hundred twenty-five thousand, six hundred thirty-two".