10468955112 has 256 divisors, whose sum is σ = 33574072320. Its totient is φ = 2641766400.

The previous prime is 10468955083. The next prime is 10468955143. The reversal of 10468955112 is 21155986401.

It is a super-2 number, since 2×10468955112² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9577638 + ... + 9578730.

It is an arithmetic number, because the mean of its divisors is an integer number (131148720).

Almost surely, 2^10468955112 is an apocalyptic number.

10468955112 is a gapful number since it is divisible by the number (12) 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 10468955112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16787036160).

10468955112 is an abundant number, since it is smaller than the sum of its proper divisors (23105117208).

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

10468955112 is a wasteful number, since it uses less digits than its factorization.

10468955112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1264 (or 1260 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 10468955112 in words is "ten billion, four hundred sixty-eight million, nine hundred fifty-five thousand, one hundred twelve".