748188144 has 160 divisors (see below), whose sum is σ = 2373657600. Its totient is φ = 223741440.

The previous prime is 748188143. The next prime is 748188157. The reversal of 748188144 is 441881847.

It is a happy number.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 748188144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (748188143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 374412 + ... + 376404.

It is an arithmetic number, because the mean of its divisors is an integer number (14835360).

Almost surely, 2^748188144 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 748188144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1186828800).

748188144 is an abundant number, since it is smaller than the sum of its proper divisors (1625469456).

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

748188144 is a wasteful number, since it uses less digits than its factorization.

748188144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2100 (or 2088 counting only the distinct ones).

The product of its digits is 229376, while the sum is 45.

The square root of 748188144 is about 27353.0280590651. The cubic root of 748188144 is about 907.8280707161.

The spelling of 748188144 in words is "seven hundred forty-eight million, one hundred eighty-eight thousand, one hundred forty-four".