10659114648 has 800 divisors, whose sum is σ = 40995884160. Its totient is φ = 2560481280.

The previous prime is 10659114559. The next prime is 10659114649. The reversal of 10659114648 is 84641195601.

10659114648 is a `hidden beast` number, since 1 + 0 + 6 + 591 + 14 + 6 + 48 = 666.

It is a super-2 number, since 2×10659114648² (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 (10659114649) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 343842393 + ... + 343842423.

Almost surely, 2^10659114648 is an apocalyptic number.

10659114648 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 10659114648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20497942080).

10659114648 is an abundant number, since it is smaller than the sum of its proper divisors (30336769512).

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

10659114648 is a wasteful number, since it uses less digits than its factorization.

10659114648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10659114648 in words is "ten billion, six hundred fifty-nine million, one hundred fourteen thousand, six hundred forty-eight".