10468663296 has 448 divisors, whose sum is σ = 35699736576. Its totient is φ = 2654208000.

The previous prime is 10468663243. The next prime is 10468663307. The reversal of 10468663296 is 69236686401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×10468663296² (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69328821 + ... + 69328971.

It is an arithmetic number, because the mean of its divisors is an integer number (79686912).

Almost surely, 2^10468663296 is an apocalyptic number.

10468663296 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 10468663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17849868288).

10468663296 is an abundant number, since it is smaller than the sum of its proper divisors (25231073280).

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

10468663296 is a wasteful number, since it uses less digits than its factorization.

10468663296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 10468663296 in words is "ten billion, four hundred sixty-eight million, six hundred sixty-three thousand, two hundred ninety-six".