10849602016 has 96 divisors (see below), whose sum is σ = 24078974976. Its totient is φ = 4769856000.

The previous prime is 10849602007. The next prime is 10849602037. The reversal of 10849602016 is 61020694801.

It is a happy number.

10849602016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 15 ways as a sum of consecutive naturals, for example, 1320481 + ... + 1328671.

It is an arithmetic number, because the mean of its divisors is an integer number (250822656).

Almost surely, 2^10849602016 is an apocalyptic number.

10849602016 is a gapful number since it is divisible by the number (16) 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 10849602016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12039487488).

10849602016 is an abundant number, since it is smaller than the sum of its proper divisors (13229372960).

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

10849602016 is a wasteful number, since it uses less digits than its factorization.

10849602016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8336 (or 8328 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The spelling of 10849602016 in words is "ten billion, eight hundred forty-nine million, six hundred two thousand, sixteen".