1101829283742 has 32 divisors (see below), whose sum is σ = 2412669873024. Its totient is φ = 332682285600.

The previous prime is 1101829283719. The next prime is 1101829283749. The reversal of 1101829283742 is 2473829281011.

It is a super-2 number, since 2×1101829283742² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101829283691 and 1101829283700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101829283749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30115984 + ... + 30152547.

It is an arithmetic number, because the mean of its divisors is an integer number (75395933532).

Almost surely, 2^{1101829283742} is an apocalyptic number.

1101829283742 is an abundant number, since it is smaller than the sum of its proper divisors (1310840589282).

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

1101829283742 is a wasteful number, since it uses less digits than its factorization.

1101829283742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60268824.

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 1101829283742 in words is "one trillion, one hundred one billion, eight hundred twenty-nine million, two hundred eighty-three thousand, seven hundred forty-two".