10084644834 has 64 divisors (see below), whose sum is σ = 23384453760. Its totient is φ = 2865413120.

The previous prime is 10084644833. The next prime is 10084644863. The reversal of 10084644834 is 43844648001.

It is a super-2 number, since 2×10084644834² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10084644833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285112 + ... + 318524.

It is an arithmetic number, because the mean of its divisors is an integer number (365382090).

Almost surely, 2^10084644834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10084644834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11692226880).

10084644834 is an abundant number, since it is smaller than the sum of its proper divisors (13299808926).

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

10084644834 is a wasteful number, since it uses less digits than its factorization.

10084644834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33715.

The product of its (nonzero) digits is 294912, while the sum is 42.

The spelling of 10084644834 in words is "ten billion, eighty-four million, six hundred forty-four thousand, eight hundred thirty-four".