1829415981096 has 128 divisors (see below), whose sum is σ = 5600836886400. Its totient is φ = 548653271040.

The previous prime is 1829415981079. The next prime is 1829415981109. The reversal of 1829415981096 is 6901895149281.

1829415981096 is a `hidden beast` number, since 1 + 8 + 29 + 4 + 1 + 598 + 10 + 9 + 6 = 666.

It is a super-2 number, since 2×1829415981096² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3738375 + ... + 4199318.

It is an arithmetic number, because the mean of its divisors is an integer number (43756538175).

Almost surely, 2^{1829415981096} is an apocalyptic number.

It is an amenable number.

1829415981096 is an abundant number, since it is smaller than the sum of its proper divisors (3771420905304).

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

1829415981096 is a wasteful number, since it uses less digits than its factorization.

1829415981096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7937816 (or 7937806 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 63.

The spelling of 1829415981096 in words is "one trillion, eight hundred twenty-nine billion, four hundred fifteen million, nine hundred eighty-one thousand, ninety-six".