10648914603768 has 480 divisors, whose sum is σ = 37299814675200. Its totient is φ = 2821077528192.

The previous prime is 10648914603763. The next prime is 10648914603857. The reversal of 10648914603768 is 86730641984601.

It is a happy number.

10648914603768 is a `hidden beast` number, since 1 + 0 + 6 + 4 + 8 + 9 + 14 + 603 + 7 + 6 + 8 = 666.

It is a super-2 number, since 2×10648914603768² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10648914603763) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 28166755 + ... + 28542317.

It is an arithmetic number, because the mean of its divisors is an integer number (77707947240).

Almost surely, 2^{10648914603768} is an apocalyptic number.

10648914603768 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 10648914603768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18649907337600).

10648914603768 is an abundant number, since it is smaller than the sum of its proper divisors (26650900071432).

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

10648914603768 is a wasteful number, since it uses less digits than its factorization.

10648914603768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375661 (or 375641 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 10648914603768 in words is "ten trillion, six hundred forty-eight billion, nine hundred fourteen million, six hundred three thousand, seven hundred sixty-eight".