4523125191750 has 1280 divisors, whose sum is σ = 15387217477632. Its totient is φ = 978531840000.

The previous prime is 4523125191731. The next prime is 4523125191769. The reversal of 4523125191750 is 571915213254.

4523125191750 is a `hidden beast` number, since 4 + 52 + 3 + 12 + 519 + 1 + 75 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4523125191731) and next prime (4523125191769).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 4523125191696 and 4523125191705.

It is a congruent 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 639 ways as a sum of consecutive naturals, for example, 6221629887 + ... + 6221630613.

Almost surely, 2^{4523125191750} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4523125191750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7693608738816).

4523125191750 is an abundant number, since it is smaller than the sum of its proper divisors (10864092285882).

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

4523125191750 is a wasteful number, since it uses less digits than its factorization.

4523125191750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 4523125191750 in words is "four trillion, five hundred twenty-three billion, one hundred twenty-five million, one hundred ninety-one thousand, seven hundred fifty".