248614434432 has 1536 divisors, whose sum is σ = 994524480000. Its totient is φ = 60866297856.

The previous prime is 248614434377. The next prime is 248614434473. The reversal of 248614434432 is 234434416842.

248614434432 is a `hidden beast` number, since 2 + 48 + 6 + 144 + 34 + 432 = 666.

248614434432 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3405677148 + ... + 3405677220.

It is an arithmetic number, because the mean of its divisors is an integer number (647476875).

Almost surely, 2^248614434432 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 248614434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497262240000).

248614434432 is an abundant number, since it is smaller than the sum of its proper divisors (745910045568).

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

248614434432 is a wasteful number, since it uses less digits than its factorization.

248614434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 115 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

The spelling of 248614434432 in words is "two hundred forty-eight billion, six hundred fourteen million, four hundred thirty-four thousand, four hundred thirty-two".