750106743144 has 128 divisors (see below), whose sum is σ = 2088289313280. Its totient is φ = 222617260800.

The previous prime is 750106743143. The next prime is 750106743151. The reversal of 750106743144 is 441347601057.

It is a super-3 number, since 3×750106743144³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 750106743096 and 750106743105.

It is not an unprimeable number, because it can be changed into a prime (750106743143) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2937459 + ... + 3182589.

It is an arithmetic number, because the mean of its divisors is an integer number (16314760260).

Almost surely, 2^750106743144 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 750106743144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1044144656640).

750106743144 is an abundant number, since it is smaller than the sum of its proper divisors (1338182570136).

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

750106743144 is a wasteful number, since it uses less digits than its factorization.

750106743144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245391 (or 245387 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 750106743144 in words is "seven hundred fifty billion, one hundred six million, seven hundred forty-three thousand, one hundred forty-four".