10834149824 has 56 divisors (see below), whose sum is σ = 22211678208. Its totient is φ = 5237809920.

The previous prime is 10834149787. The next prime is 10834149829. The reversal of 10834149824 is 42894143801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10834149829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4091669 + ... + 4094315.

Almost surely, 2^10834149824 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 10834149824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11105839104).

10834149824 is an abundant number, since it is smaller than the sum of its proper divisors (11377528384).

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

10834149824 is a wasteful number, since it uses less digits than its factorization.

10834149824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4753 (or 4743 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The spelling of 10834149824 in words is "ten billion, eight hundred thirty-four million, one hundred forty-nine thousand, eight hundred twenty-four".