1742257143168 has 384 divisors, whose sum is σ = 5096646696960. Its totient is φ = 525474938880.

The previous prime is 1742257143127. The next prime is 1742257143169. The reversal of 1742257143168 is 8613417522471.

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

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a self number, because there is not a number n which added to its sum of digits gives 1742257143168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1742257143169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1047658305 + ... + 1047659967.

It is an arithmetic number, because the mean of its divisors is an integer number (13272517440).

Almost surely, 2^{1742257143168} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1742257143168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548323348480).

1742257143168 is an abundant number, since it is smaller than the sum of its proper divisors (3354389553792).

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

1742257143168 is a wasteful number, since it uses less digits than its factorization.

1742257143168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1926 (or 1883 counting only the distinct ones).

The product of its digits is 2257920, while the sum is 51.

The spelling of 1742257143168 in words is "one trillion, seven hundred forty-two billion, two hundred fifty-seven million, one hundred forty-three thousand, one hundred sixty-eight".