1745885949120 has 224 divisors, whose sum is σ = 6235138395840. Its totient is φ = 465569399808.

The previous prime is 1745885949103. The next prime is 1745885949149. The reversal of 1745885949120 is 219495885471.

1745885949120 is a `hidden beast` number, since 1 + 7 + 4 + 588 + 5 + 9 + 49 + 1 + 2 + 0 = 666.

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, 547507 + ... + 1947186.

Almost surely, 2^{1745885949120} is an apocalyptic number.

1745885949120 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 1745885949120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3117569197920).

1745885949120 is an abundant number, since it is smaller than the sum of its proper divisors (4489252446720).

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

1745885949120 is an frugal number, since it uses more digits than its factorization.

1745885949120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2494731 (or 2494703 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 63.

The spelling of 1745885949120 in words is "one trillion, seven hundred forty-five billion, eight hundred eighty-five million, nine hundred forty-nine thousand, one hundred twenty".