2225738188512 has 144 divisors (see below), whose sum is σ = 6517672565040. Its totient is φ = 719955081216.

The previous prime is 2225738188493. The next prime is 2225738188519. The reversal of 2225738188512 is 2158818375222.

2225738188512 is a `hidden beast` number, since 2 + 2 + 2 + 573 + 8 + 18 + 8 + 51 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225738188519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3763068 + ... + 4314180.

It is an arithmetic number, because the mean of its divisors is an integer number (45261615035).

Almost surely, 2^{2225738188512} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225738188512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3258836282520).

2225738188512 is an abundant number, since it is smaller than the sum of its proper divisors (4291934376528).

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

2225738188512 is a wasteful number, since it uses less digits than its factorization.

2225738188512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551545 (or 551534 counting only the distinct ones).

The product of its digits is 4300800, while the sum is 54.

The spelling of 2225738188512 in words is "two trillion, two hundred twenty-five billion, seven hundred thirty-eight million, one hundred eighty-eight thousand, five hundred twelve".