10649257344 has 384 divisors, whose sum is σ = 34751808000. Its totient is φ = 3102105600.

The previous prime is 10649257337. The next prime is 10649257357. The reversal of 10649257344 is 44375294601.

10649257344 is a `hidden beast` number, since 10 + 6 + 49 + 257 + 344 = 666.

10649257344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10649257344² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10649257344.

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 47 ways as a sum of consecutive naturals, for example, 53513757 + ... + 53513955.

It is an arithmetic number, because the mean of its divisors is an integer number (90499500).

Almost surely, 2^10649257344 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 10649257344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17375904000).

10649257344 is an abundant number, since it is smaller than the sum of its proper divisors (24102550656).

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

10649257344 is a wasteful number, since it uses less digits than its factorization.

10649257344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 10649257344 in words is "ten billion, six hundred forty-nine million, two hundred fifty-seven thousand, three hundred forty-four".