1102809000832 has 512 divisors, whose sum is σ = 2955284352000. Its totient is φ = 396802129920.

The previous prime is 1102809000817. The next prime is 1102809000859. The reversal of 1102809000832 is 2380009082011.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2456144544 + ... + 2456144992.

It is an arithmetic number, because the mean of its divisors is an integer number (5772039750).

Almost surely, 2^{1102809000832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1102809000832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1477642176000).

1102809000832 is an abundant number, since it is smaller than the sum of its proper divisors (1852475351168).

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

1102809000832 is a wasteful number, since it uses less digits than its factorization.

1102809000832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 742 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The spelling of 1102809000832 in words is "one trillion, one hundred two billion, eight hundred nine million, eight hundred thirty-two", and thus it is an aban number.