248049248832 has 1344 divisors, whose sum is σ = 976702095360. Its totient is φ = 61471872000.

The previous prime is 248049248773. The next prime is 248049248833. The reversal of 248049248832 is 238842940842.

248049248832 is a `hidden beast` number, since 2 + 4 + 80 + 492 + 48 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×248049248832² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (248049248833) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3493651357 + ... + 3493651427.

Almost surely, 2^248049248832 is an apocalyptic number.

248049248832 is a gapful number since it is divisible by the number (22) 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 248049248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (488351047680).

248049248832 is an abundant number, since it is smaller than the sum of its proper divisors (728652846528).

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

248049248832 is a wasteful number, since it uses less digits than its factorization.

248049248832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 248049248832 in words is "two hundred forty-eight billion, forty-nine million, two hundred forty-eight thousand, eight hundred thirty-two".