10648353122550 has 288 divisors, whose sum is σ = 33635672179200. Its totient is φ = 2381033491200.

The previous prime is 10648353122549. The next prime is 10648353122597. The reversal of 10648353122550 is 5522135384601.

It is a happy number.

10648353122550 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 83 + 5 + 3 + 12 + 2 + 550 = 666.

It is a super-3 number, since 3×10648353122550³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 10648353122496 and 10648353122505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85330101 + ... + 85454799.

It is an arithmetic number, because the mean of its divisors is an integer number (116790528400).

Almost surely, 2^{10648353122550} is an apocalyptic number.

10648353122550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10648353122550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16817836089600).

10648353122550 is an abundant number, since it is smaller than the sum of its proper divisors (22987319056650).

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

10648353122550 is a wasteful number, since it uses less digits than its factorization.

10648353122550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126068 (or 126060 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 10648353122550 in words is "ten trillion, six hundred forty-eight billion, three hundred fifty-three million, one hundred twenty-two thousand, five hundred fifty".