248901379200 has 768 divisors, whose sum is σ = 974993846400. Its totient is φ = 61789962240.

The previous prime is 248901379193. The next prime is 248901379201. The reversal of 248901379200 is 2973109842.

248901379200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (248901379201) by changing a digit.

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, 142472727 + ... + 142474473.

Almost surely, 2^248901379200 is an apocalyptic number.

248901379200 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 248901379200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487496923200).

248901379200 is an abundant number, since it is smaller than the sum of its proper divisors (726092467200).

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

248901379200 is a wasteful number, since it uses less digits than its factorization.

248901379200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894 (or 1871 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 248901379200 in words is "two hundred forty-eight billion, nine hundred one million, three hundred seventy-nine thousand, two hundred".