1745340855552 has 648 divisors, whose sum is σ = 6054998628224. Its totient is φ = 473585688576.

The previous prime is 1745340855547. The next prime is 1745340855569. The reversal of 1745340855552 is 2555580435471.

1745340855552 is a `hidden beast` number, since 1 + 7 + 4 + 5 + 3 + 4 + 0 + 85 + 5 + 552 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1339478133 + ... + 1339479435.

Almost surely, 2^{1745340855552} is an apocalyptic number.

1745340855552 is a gapful number since it is divisible by the number (12) 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 1745340855552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3027499314112).

1745340855552 is an abundant number, since it is smaller than the sum of its proper divisors (4309657772672).

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

1745340855552 is a wasteful number, since it uses less digits than its factorization.

1745340855552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535 (or 1495 counting only the distinct ones).

The product of its (nonzero) digits is 16800000, while the sum is 54.

The spelling of 1745340855552 in words is "one trillion, seven hundred forty-five billion, three hundred forty million, eight hundred fifty-five thousand, five hundred fifty-two".