10645440066552 has 256 divisors, whose sum is σ = 29013524265600. Its totient is φ = 3241719889920.

The previous prime is 10645440066551. The next prime is 10645440066553. The reversal of 10645440066552 is 25566004454601.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10645440066551) and next prime (10645440066553).

It is a super-2 number, since 2×10645440066552² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10645440066551) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4304665188 + ... + 4304667660.

Almost surely, 2^{10645440066552} is an apocalyptic number.

10645440066552 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 10645440066552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14506762132800).

10645440066552 is an abundant number, since it is smaller than the sum of its proper divisors (18368084199048).

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

10645440066552 is a wasteful number, since it uses less digits than its factorization.

10645440066552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3742 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 10645440066552 in words is "ten trillion, six hundred forty-five billion, four hundred forty million, sixty-six thousand, five hundred fifty-two".