10671414656 has 64 divisors (see below), whose sum is σ = 24403092000. Its totient is φ = 4553404416.

The previous prime is 10671414643. The next prime is 10671414659. The reversal of 10671414656 is 65641417601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10671414656² (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 (10671414659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 179180 + ... + 231188.

Almost surely, 2^10671414656 is an apocalyptic number.

10671414656 is a gapful number since it is divisible by the number (16) 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 10671414656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201546000).

10671414656 is an abundant number, since it is smaller than the sum of its proper divisors (13731677344).

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

10671414656 is an equidigital number, since it uses as much as digits as its factorization.

10671414656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52259 (or 52247 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 10671414656 in words is "ten billion, six hundred seventy-one million, four hundred fourteen thousand, six hundred fifty-six".