1742116526544 has 20 divisors (see below), whose sum is σ = 4500467693696. Its totient is φ = 580705508832.

The previous prime is 1742116526497. The next prime is 1742116526567. The reversal of 1742116526544 is 4456256112471.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 36294094303 = 1742116526544 / (1 + 7 + 4 + 2 + 1 + 1 + 6 + 5 + 2 + 6 + 5 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 1742116526493 and 1742116526502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18147047104 + ... + 18147047199.

Almost surely, 2^{1742116526544} is an apocalyptic number.

It is an amenable number.

1742116526544 is an abundant number, since it is smaller than the sum of its proper divisors (2758351167152).

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

1742116526544 is a wasteful number, since it uses less digits than its factorization.

1742116526544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36294094314 (or 36294094308 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 48.

The spelling of 1742116526544 in words is "one trillion, seven hundred forty-two billion, one hundred sixteen million, five hundred twenty-six thousand, five hundred forty-four".