1742719228164 has 18 divisors (see below), whose sum is σ = 4405206937950. Its totient is φ = 580906409376.

The previous prime is 1742719228157. The next prime is 1742719228177. The reversal of 1742719228164 is 4618229172471.

It is a happy number.

1742719228164 is a `hidden beast` number, since 1 + 7 + 4 + 271 + 92 + 281 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1364789370564 + 377929857600 = 1168242^2 + 614760^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1742719228164.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 24204433689 + ... + 24204433760.

It is an arithmetic number, because the mean of its divisors is an integer number (244733718775).

Almost surely, 2^{1742719228164} is an apocalyptic number.

It is an amenable number.

1742719228164 is an abundant number, since it is smaller than the sum of its proper divisors (2662487709786).

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

1742719228164 is a wasteful number, since it uses less digits than its factorization.

1742719228164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48408867459 (or 48408867454 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 1742719228164 in words is "one trillion, seven hundred forty-two billion, seven hundred nineteen million, two hundred twenty-eight thousand, one hundred sixty-four".