10461650688 has 144 divisors (see below), whose sum is σ = 31004700160. Its totient is φ = 3479583744.

The previous prime is 10461650687. The next prime is 10461650707. The reversal of 10461650688 is 88605616401.

10461650688 is a `hidden beast` number, since 1 + 0 + 4 + 61 + 6 + 506 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×10461650688² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10461650687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3779481 + ... + 3782247.

Almost surely, 2^10461650688 is an apocalyptic number.

10461650688 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 10461650688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15502350080).

10461650688 is an abundant number, since it is smaller than the sum of its proper divisors (20543049472).

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

10461650688 is an equidigital number, since it uses as much as digits as its factorization.

10461650688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3339 (or 3319 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 10461650688 in words is "ten billion, four hundred sixty-one million, six hundred fifty thousand, six hundred eighty-eight".