248722403328 has 832 divisors, whose sum is σ = 897052108800. Its totient is φ = 66567536640.

The previous prime is 248722403297. The next prime is 248722403341. The reversal of 248722403328 is 823304227842.

248722403328 is a `hidden beast` number, since 2 + 4 + 8 + 72 + 240 + 332 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1086123918 + ... + 1086124146.

Almost surely, 2^248722403328 is an apocalyptic number.

248722403328 is a gapful number since it is divisible by the number (28) 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 248722403328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448526054400).

248722403328 is an abundant number, since it is smaller than the sum of its proper divisors (648329705472).

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

248722403328 is a wasteful number, since it uses less digits than its factorization.

248722403328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 45.

The spelling of 248722403328 in words is "two hundred forty-eight billion, seven hundred twenty-two million, four hundred three thousand, three hundred twenty-eight".