1745253216 has 144 divisors (see below), whose sum is σ = 5882333184. Its totient is φ = 498628224.

The previous prime is 1745253187. The next prime is 1745253229. The reversal of 1745253216 is 6123525471.

1745253216 is a `hidden beast` number, since 1 + 74 + 52 + 532 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38401 + ... + 70463.

It is an arithmetic number, because the mean of its divisors is an integer number (40849536).

Almost surely, 2^1745253216 is an apocalyptic number.

1745253216 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 1745253216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2941166592).

1745253216 is an abundant number, since it is smaller than the sum of its proper divisors (4137079968).

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

1745253216 is an equidigital number, since it uses as much as digits as its factorization.

1745253216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32095 (or 32075 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 1745253216 is about 41776.2278814160. The cubic root of 1745253216 is about 1203.9805812109.

Adding to 1745253216 its reverse (6123525471), we get a palindrome (7868778687).

The spelling of 1745253216 in words is "one billion, seven hundred forty-five million, two hundred fifty-three thousand, two hundred sixteen".