248919091200 has 1440 divisors, whose sum is σ = 1049418770400. Its totient is φ = 58047528960.

The previous prime is 248919091147. The next prime is 248919091241. The reversal of 248919091200 is 2190919842.

248919091200 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 (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 119 ways as a sum of consecutive naturals, for example, 13101004791 + ... + 13101004809.

It is an arithmetic number, because the mean of its divisors is an integer number (728763035).

Almost surely, 2^248919091200 is an apocalyptic number.

248919091200 is a gapful number since it is divisible by the number (20) 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 248919091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (524709385200).

248919091200 is an abundant number, since it is smaller than the sum of its proper divisors (800499679200).

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

248919091200 is an frugal number, since it uses more digits than its factorization.

248919091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 248919091200 in words is "two hundred forty-eight billion, nine hundred nineteen million, ninety-one thousand, two hundred".