248283943632 has 240 divisors, whose sum is σ = 745031426048. Its totient is φ = 79962318720.

The previous prime is 248283943597. The next prime is 248283943681. The reversal of 248283943632 is 236349382842.

248283943632 is a `hidden beast` number, since 24 + 82 + 83 + 9 + 436 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 99193293 + ... + 99195795.

Almost surely, 2^248283943632 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 248283943632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (372515713024).

248283943632 is an abundant number, since it is smaller than the sum of its proper divisors (496747482416).

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

248283943632 is a wasteful number, since it uses less digits than its factorization.

248283943632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3380 (or 3362 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

The spelling of 248283943632 in words is "two hundred forty-eight billion, two hundred eighty-three million, nine hundred forty-three thousand, six hundred thirty-two".