2245325145120 has 480 divisors, whose sum is σ = 8211207755520. Its totient is φ = 577414656000.

The previous prime is 2245325145071. The next prime is 2245325145139. The reversal of 2245325145120 is 215415235422.

2245325145120 is a `hidden beast` number, since 2 + 2 + 4 + 532 + 51 + 4 + 51 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 43999620 + ... + 44050620.

It is an arithmetic number, because the mean of its divisors is an integer number (17106682824).

Almost surely, 2^{2245325145120} is an apocalyptic number.

2245325145120 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 2245325145120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4105603877760).

2245325145120 is an abundant number, since it is smaller than the sum of its proper divisors (5965882610400).

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

2245325145120 is a wasteful number, since it uses less digits than its factorization.

2245325145120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51150 (or 51133 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 2245325145120 in words is "two trillion, two hundred forty-five billion, three hundred twenty-five million, one hundred forty-five thousand, one hundred twenty".