1875563118144 has 315 divisors, whose sum is σ = 5819031432907. Its totient is φ = 597282529536.

The previous prime is 1875563118127. The next prime is 1875563118181. The reversal of 1875563118144 is 4418113655781.

The square root of 1875563118144 is 1369512.

It is a perfect power (a square), and thus also a powerful number.

1875563118144 is a `hidden beast` number, since 1 + 8 + 7 + 556 + 3 + 1 + 1 + 81 + 4 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

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 44 ways as a sum of consecutive naturals, for example, 2267911459 + ... + 2267912285.

Almost surely, 2^{1875563118144} is an apocalyptic number.

1875563118144 is the 1369512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1875563118144

1875563118144 is an abundant number, since it is smaller than the sum of its proper divisors (3943468314763).

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

1875563118144 is an frugal number, since it uses more digits than its factorization.

1875563118144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 855 counting only the distinct ones).

The product of its digits is 3225600, while the sum is 54.

The spelling of 1875563118144 in words is "one trillion, eight hundred seventy-five billion, five hundred sixty-three million, one hundred eighteen thousand, one hundred forty-four".