1745223501120 has 336 divisors, whose sum is σ = 6411180390720. Its totient is φ = 400816373760.

The previous prime is 1745223501103. The next prime is 1745223501149. The reversal of 1745223501120 is 211053225471.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1811664 + ... + 2602416.

It is an arithmetic number, because the mean of its divisors is an integer number (19080894020).

Almost surely, 2^{1745223501120} is an apocalyptic number.

1745223501120 is a gapful number since it is divisible by the number (10) 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 1745223501120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205590195360).

1745223501120 is an abundant number, since it is smaller than the sum of its proper divisors (4665956889600).

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

1745223501120 is a wasteful number, since it uses less digits than its factorization.

1745223501120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790814 (or 790793 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 1745223501120 its reverse (211053225471), we get a palindrome (1956276726591).

The spelling of 1745223501120 in words is "one trillion, seven hundred forty-five billion, two hundred twenty-three million, five hundred one thousand, one hundred twenty".