1743993216 has 192 divisors, whose sum is σ = 5985457920. Its totient is φ = 476568576.

The previous prime is 1743993169. The next prime is 1743993227. The reversal of 1743993216 is 6123993471.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 2.

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, 180771 + ... + 190173.

It is an arithmetic number, because the mean of its divisors is an integer number (31174260).

Almost surely, 2^1743993216 is an apocalyptic number.

1743993216 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 1743993216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992728960).

1743993216 is an abundant number, since it is smaller than the sum of its proper divisors (4241464704).

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

1743993216 is a wasteful number, since it uses less digits than its factorization.

1743993216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9453 (or 9438 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 1743993216 is about 41761.1448118942. The cubic root of 1743993216 is about 1203.6907702084.

The spelling of 1743993216 in words is "one billion, seven hundred forty-three million, nine hundred ninety-three thousand, two hundred sixteen".