2245393713000 has 512 divisors, whose sum is σ = 7260963840000. Its totient is φ = 577425024000.

The previous prime is 2245393712959. The next prime is 2245393713037. The reversal of 2245393713000 is 3173935422.

It is a self number, because there is not a number n which added to its sum of digits gives 2245393713000.

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 127 ways as a sum of consecutive naturals, for example, 4499786751 + ... + 4499787249.

It is an arithmetic number, because the mean of its divisors is an integer number (14181570000).

Almost surely, 2^{2245393713000} is an apocalyptic number.

2245393713000 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 2245393713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3630481920000).

2245393713000 is an abundant number, since it is smaller than the sum of its proper divisors (5015570127000).

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

2245393713000 is a wasteful number, since it uses less digits than its factorization.

2245393713000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The spelling of 2245393713000 in words is "two trillion, two hundred forty-five billion, three hundred ninety-three million, seven hundred thirteen thousand".