1749491136 has 336 divisors, whose sum is σ = 5582863104. Its totient is φ = 541956096.

The previous prime is 1749491123. The next prime is 1749491137. The reversal of 1749491136 is 6311949471.

It is a happy number.

Its product of digits (163296) is a multiple of the sum of its prime divisors (168).

It is a junction number, because it is equal to n+sod(n) for n = 1749491091 and 1749491100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1749491137) by changing a digit.

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, 23965596 + ... + 23965668.

It is an arithmetic number, because the mean of its divisors is an integer number (16615664).

Almost surely, 2^1749491136 is an apocalyptic number.

1749491136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1749491136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2791431552).

1749491136 is an abundant number, since it is smaller than the sum of its proper divisors (3833371968).

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

1749491136 is an equidigital number, since it uses as much as digits as its factorization.

1749491136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 168 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1749491136 is about 41826.9187963924. The cubic root of 1749491136 is about 1204.9543174661.

The spelling of 1749491136 in words is "one billion, seven hundred forty-nine million, four hundred ninety-one thousand, one hundred thirty-six".