10456565112 has 288 divisors, whose sum is σ = 34537950720. Its totient is φ = 2846067840.

The previous prime is 10456565111. The next prime is 10456565131. The reversal of 10456565112 is 21156565401.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10456565111) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7326943 + ... + 7328369.

It is an arithmetic number, because the mean of its divisors is an integer number (119923440).

Almost surely, 2^10456565112 is an apocalyptic number.

10456565112 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 10456565112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17268975360).

10456565112 is an abundant number, since it is smaller than the sum of its proper divisors (24081385608).

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

10456565112 is a wasteful number, since it uses less digits than its factorization.

10456565112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1551 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 10456565112 in words is "ten billion, four hundred fifty-six million, five hundred sixty-five thousand, one hundred twelve".