747144144 has 240 divisors, whose sum is σ = 2376990720. Its totient is φ = 217831680.

The previous prime is 747144137. The next prime is 747144187. The reversal of 747144144 is 441441747.

747144144 is a `hidden beast` number, since 7 + 471 + 44 + 144 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 747144099 and 747144108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1950577 + ... + 1950959.

It is an arithmetic number, because the mean of its divisors is an integer number (9904128).

Almost surely, 2^747144144 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 747144144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1188495360).

747144144 is an abundant number, since it is smaller than the sum of its proper divisors (1629846576).

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

747144144 is a wasteful number, since it uses less digits than its factorization.

747144144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 461 counting only the distinct ones).

The product of its digits is 50176, while the sum is 36.

The square root of 747144144 is about 27333.9375868169. The cubic root of 747144144 is about 907.4056218588.

It can be divided in two parts, 7471 and 44144, that added together give a palindrome (51615).

The spelling of 747144144 in words is "seven hundred forty-seven million, one hundred forty-four thousand, one hundred forty-four".