1723008645120 has 384 divisors, whose sum is σ = 6305084997120. Its totient is φ = 393497149440.

The previous prime is 1723008645109. The next prime is 1723008645139. The reversal of 1723008645120 is 215468003271.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 327503290 + ... + 327508550.

It is an arithmetic number, because the mean of its divisors is an integer number (16419492180).

Almost surely, 2^{1723008645120} is an apocalyptic number.

1723008645120 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 1723008645120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152542498560).

1723008645120 is an abundant number, since it is smaller than the sum of its proper divisors (4582076352000).

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

1723008645120 is a wasteful number, since it uses less digits than its factorization.

1723008645120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6821 (or 6801 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 1723008645120 in words is "one trillion, seven hundred twenty-three billion, eight million, six hundred forty-five thousand, one hundred twenty".