10249384964 has 48 divisors (see below), whose sum is σ = 22153826688. Its totient is φ = 4040333568.

The previous prime is 10249384961. The next prime is 10249384969. The reversal of 10249384964 is 46948394201.

It is not an unprimeable number, because it can be changed into a prime (10249384961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53264 + ... + 152760.

It is an arithmetic number, because the mean of its divisors is an integer number (461538056).

Almost surely, 2^10249384964 is an apocalyptic number.

10249384964 is a gapful number since it is divisible by the number (14) 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 10249384964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11076913344).

10249384964 is an abundant number, since it is smaller than the sum of its proper divisors (11904441724).

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

10249384964 is a wasteful number, since it uses less digits than its factorization.

10249384964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99804 (or 99802 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 50.

The spelling of 10249384964 in words is "ten billion, two hundred forty-nine million, three hundred eighty-four thousand, nine hundred sixty-four".