2145125053344 has 192 divisors, whose sum is σ = 6938037227520. Its totient is φ = 565124152320.

The previous prime is 2145125053333. The next prime is 2145125053367. The reversal of 2145125053344 is 4433505215412.

It is a super-2 number, since 2×2145125053344² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7823727 + ... + 8093265.

It is an arithmetic number, because the mean of its divisors is an integer number (36135610560).

Almost surely, 2^{2145125053344} is an apocalyptic number.

2145125053344 is a gapful number since it is divisible by the number (24) 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 2145125053344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3469018613760).

2145125053344 is an abundant number, since it is smaller than the sum of its proper divisors (4792912174176).

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

2145125053344 is a wasteful number, since it uses less digits than its factorization.

2145125053344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270483 (or 270475 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 39.

The spelling of 2145125053344 in words is "two trillion, one hundred forty-five billion, one hundred twenty-five million, fifty-three thousand, three hundred forty-four".