248896634112 has 864 divisors, whose sum is σ = 910675584000. Its totient is φ = 66217181184.

The previous prime is 248896634087. The next prime is 248896634167. The reversal of 248896634112 is 211436698842.

248896634112 is a `hidden beast` number, since 2 + 4 + 88 + 96 + 63 + 411 + 2 = 666.

248896634112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 554335264 + ... + 554335712.

Almost surely, 2^248896634112 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 248896634112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455337792000).

248896634112 is an abundant number, since it is smaller than the sum of its proper divisors (661778949888).

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

248896634112 is an equidigital number, since it uses as much as digits as its factorization.

248896634112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 547 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 54.

The spelling of 248896634112 in words is "two hundred forty-eight billion, eight hundred ninety-six million, six hundred thirty-four thousand, one hundred twelve".