1071829113228 has 72 divisors (see below), whose sum is σ = 2813376759760. Its totient is φ = 357244093872.

The previous prime is 1071829113167. The next prime is 1071829113283. The reversal of 1071829113228 is 8223119281701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a super-2 number, since 2×1071829113228² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96826078 + ... + 96837146.

Almost surely, 2^{1071829113228} is an apocalyptic number.

1071829113228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1071829113228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406688379880).

1071829113228 is an abundant number, since it is smaller than the sum of its proper divisors (1741547646532).

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

1071829113228 is an frugal number, since it uses more digits than its factorization.

1071829113228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22163 (or 11074 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 1071829113228 in words is "one trillion, seventy-one billion, eight hundred twenty-nine million, one hundred thirteen thousand, two hundred twenty-eight".