1745893248 has 128 divisors (see below), whose sum is σ = 5196320640. Its totient is φ = 514713600.

The previous prime is 1745893243. The next prime is 1745893273. The reversal of 1745893248 is 8423985471.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 1745893248.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1745893241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150703 + ... + 161873.

It is an arithmetic number, because the mean of its divisors is an integer number (40596255).

Almost surely, 2^1745893248 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 1745893248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2598160320).

1745893248 is an abundant number, since it is smaller than the sum of its proper divisors (3450427392).

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

1745893248 is a wasteful number, since it uses less digits than its factorization.

1745893248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11236 (or 11224 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 1745893248 is about 41783.8874208707. The cubic root of 1745893248 is about 1204.1277407392.

The spelling of 1745893248 in words is "one billion, seven hundred forty-five million, eight hundred ninety-three thousand, two hundred forty-eight".