749646144 has 336 divisors, whose sum is σ = 2543495040. Its totient is φ = 215654400.

The previous prime is 749646137. The next prime is 749646169. The reversal of 749646144 is 441646947.

It is a self number, because there is not a number n which added to its sum of digits gives 749646144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4964469 + ... + 4964619.

Almost surely, 2^749646144 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 749646144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1271747520).

749646144 is an abundant number, since it is smaller than the sum of its proper divisors (1793848896).

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

749646144 is a wasteful number, since it uses less digits than its factorization.

749646144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 186 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 749646144 is about 27379.6666159396. Note that the first 4 decimals coincide. The cubic root of 749646144 is about 908.4173852661.

The spelling of 749646144 in words is "seven hundred forty-nine million, six hundred forty-six thousand, one hundred forty-four".