10349766144 has 160 divisors (see below), whose sum is σ = 31625594880. Its totient is φ = 3338496000.

The previous prime is 10349766143. The next prime is 10349766197. The reversal of 10349766144 is 44166794301.

10349766144 is a `hidden beast` number, since 10 + 3 + 497 + 6 + 6 + 144 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 10349766144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10349766143) 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, 416469 + ... + 440619.

It is an arithmetic number, because the mean of its divisors is an integer number (197659968).

Almost surely, 2^10349766144 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 10349766144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15812797440).

10349766144 is an abundant number, since it is smaller than the sum of its proper divisors (21275828736).

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

10349766144 is an equidigital number, since it uses as much as digits as its factorization.

10349766144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24209 (or 24187 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10349766144 in words is "ten billion, three hundred forty-nine million, seven hundred sixty-six thousand, one hundred forty-four".