1749193112160 has 768 divisors, whose sum is σ = 7009088889600. Its totient is φ = 403609485312.

The previous prime is 1749193112071. The next prime is 1749193112167. The reversal of 1749193112160 is 612113919471.

1749193112160 is a `hidden beast` number, since 1 + 7 + 491 + 9 + 31 + 121 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1749193112167) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 245359476 + ... + 245366604.

It is an arithmetic number, because the mean of its divisors is an integer number (9126417825).

Almost surely, 2^{1749193112160} is an apocalyptic number.

1749193112160 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 1749193112160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3504544444800).

1749193112160 is an abundant number, since it is smaller than the sum of its proper divisors (5259895777440).

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

1749193112160 is a wasteful number, since it uses less digits than its factorization.

1749193112160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7440 (or 7426 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 45.

The spelling of 1749193112160 in words is "one trillion, seven hundred forty-nine billion, one hundred ninety-three million, one hundred twelve thousand, one hundred sixty".