10649416803408 has 120 divisors (see below), whose sum is σ = 31405962806400. Its totient is φ = 3359352932352.

The previous prime is 10649416803397. The next prime is 10649416803463. The reversal of 10649416803408 is 80430861494601.

10649416803408 is a `hidden beast` number, since 1 + 0 + 64 + 94 + 16 + 80 + 3 + 408 = 666.

It is a super-2 number, since 2×10649416803408² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 446841 + ... + 4636647.

It is an arithmetic number, because the mean of its divisors is an integer number (261716356720).

Almost surely, 2^{10649416803408} is an apocalyptic number.

10649416803408 is a gapful number since it is divisible by the number (18) 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 10649416803408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15702981403200).

10649416803408 is an abundant number, since it is smaller than the sum of its proper divisors (20756546002992).

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

10649416803408 is a wasteful number, since it uses less digits than its factorization.

10649416803408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4190769 (or 4190760 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 10649416803408 in words is "ten trillion, six hundred forty-nine billion, four hundred sixteen million, eight hundred three thousand, four hundred eight".