11034792158412 has 192 divisors, whose sum is σ = 29175617318400. Its totient is φ = 3215420651520.

The previous prime is 11034792158387. The next prime is 11034792158447. The reversal of 11034792158412 is 21485129743011.

11034792158412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 2666050639 + ... + 2666054777.

It is an arithmetic number, because the mean of its divisors is an integer number (151956340200).

Almost surely, 2^{11034792158412} is an apocalyptic number.

11034792158412 is a gapful number since it is divisible by the number (12) 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 11034792158412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14587808659200).

11034792158412 is an abundant number, since it is smaller than the sum of its proper divisors (18140825159988).

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

11034792158412 is a wasteful number, since it uses less digits than its factorization.

11034792158412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6856 (or 6854 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 48.

The spelling of 11034792158412 in words is "eleven trillion, thirty-four billion, seven hundred ninety-two million, one hundred fifty-eight thousand, four hundred twelve".