10243451566656 has 1008 divisors, whose sum is σ = 38742351418368. Its totient is φ = 2513539123200.

The previous prime is 10243451566627. The next prime is 10243451566727. The reversal of 10243451566656 is 65666515434201.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×10243451566656² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7861435701 + ... + 7861437003.

Almost surely, 2^{10243451566656} is an apocalyptic number.

10243451566656 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 10243451566656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19371175709184).

10243451566656 is an abundant number, since it is smaller than the sum of its proper divisors (28498899851712).

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

10243451566656 is a wasteful number, since it uses less digits than its factorization.

10243451566656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1868 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 10243451566656 in words is "ten trillion, two hundred forty-three billion, four hundred fifty-one million, five hundred sixty-six thousand, six hundred fifty-six".