10646614752 has 48 divisors (see below), whose sum is σ = 29591330832. Its totient is φ = 3340113920.

The previous prime is 10646614729. The next prime is 10646614753. The reversal of 10646614752 is 25741664601.

10646614752 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 (48).

It is a super-2 number, since 2×10646614752² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10646614753) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3260199 + ... + 3263462.

It is an arithmetic number, because the mean of its divisors is an integer number (616486059).

Almost surely, 2^10646614752 is an apocalyptic number.

10646614752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10646614752 is an abundant number, since it is smaller than the sum of its proper divisors (18944716080).

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

10646614752 is a wasteful number, since it uses less digits than its factorization.

10646614752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6523691 (or 6523683 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 10646614752 in words is "ten billion, six hundred forty-six million, six hundred fourteen thousand, seven hundred fifty-two".