2248289136000 has 1280 divisors, whose sum is σ = 8716761630720. Its totient is φ = 573682176000.

The previous prime is 2248289135987. The next prime is 2248289136073. The reversal of 2248289136000 is 6319828422.

2248289136000 is a `hidden beast` number, since 2 + 2 + 4 + 8 + 28 + 9 + 13 + 600 + 0 = 666.

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 159 ways as a sum of consecutive naturals, for example, 4298831739 + ... + 4298832261.

It is an arithmetic number, because the mean of its divisors is an integer number (6809970024).

Almost surely, 2^{2248289136000} is an apocalyptic number.

2248289136000 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 2248289136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4358380815360).

2248289136000 is an abundant number, since it is smaller than the sum of its proper divisors (6468472494720).

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

2248289136000 is a wasteful number, since it uses less digits than its factorization.

2248289136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 2248289136000 in words is "two trillion, two hundred forty-eight billion, two hundred eighty-nine million, one hundred thirty-six thousand".