10934130384 has 200 divisors, whose sum is σ = 32775937920. Its totient is φ = 3516867072.

The previous prime is 10934130367. The next prime is 10934130401. The reversal of 10934130384 is 48303143901.

10934130384 is a `hidden beast` number, since 1 + 0 + 9 + 341 + 303 + 8 + 4 = 666.

10934130384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10934130367) and next prime (10934130401).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 4445347 + ... + 4447805.

Almost surely, 2^10934130384 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 10934130384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16387968960).

10934130384 is an abundant number, since it is smaller than the sum of its proper divisors (21841807536).

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

10934130384 is a wasteful number, since it uses less digits than its factorization.

10934130384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 10934130384 in words is "ten billion, nine hundred thirty-four million, one hundred thirty thousand, three hundred eighty-four".