2225145373000 has 512 divisors, whose sum is σ = 6219990466560. Its totient is φ = 736560000000.

The previous prime is 2225145372953. The next prime is 2225145373019. The reversal of 2225145373000 is 3735415222.

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, 478420675 + ... + 478425325.

It is an arithmetic number, because the mean of its divisors is an integer number (12148418880).

Almost surely, 2^{2225145373000} is an apocalyptic number.

2225145373000 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 2225145373000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3109995233280).

2225145373000 is an abundant number, since it is smaller than the sum of its proper divisors (3994845093560).

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

2225145373000 is a wasteful number, since it uses less digits than its factorization.

2225145373000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 4784 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The spelling of 2225145373000 in words is "two trillion, two hundred twenty-five billion, one hundred forty-five million, three hundred seventy-three thousand".