10384008192 has 264 divisors, whose sum is σ = 32188665600. Its totient is φ = 3339657216.

The previous prime is 10384008109. The next prime is 10384008197. The reversal of 10384008192 is 29180048301.

It is a super-2 number, since 2×10384008192² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10384008197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7215409 + ... + 7216847.

Almost surely, 2^10384008192 is an apocalyptic number.

10384008192 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 10384008192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16094332800).

10384008192 is an abundant number, since it is smaller than the sum of its proper divisors (21804657408).

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

10384008192 is an equidigital number, since it uses as much as digits as its factorization.

10384008192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1503 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 10384008192 in words is "ten billion, three hundred eighty-four million, eight thousand, one hundred ninety-two".