1745491900416 has 1152 divisors, whose sum is σ = 5722066022400. Its totient is φ = 471033446400.

The previous prime is 1745491900403. The next prime is 1745491900487. The reversal of 1745491900416 is 6140091945471.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19612268500 + ... + 19612268588.

It is an arithmetic number, because the mean of its divisors is an integer number (4967071200).

Almost surely, 2^{1745491900416} is an apocalyptic number.

1745491900416 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 1745491900416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2861033011200).

1745491900416 is an abundant number, since it is smaller than the sum of its proper divisors (3976574121984).

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

1745491900416 is a wasteful number, since it uses less digits than its factorization.

1745491900416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 1745491900416 in words is "one trillion, seven hundred forty-five billion, four hundred ninety-one million, nine hundred thousand, four hundred sixteen".