10645440102656 has 72 divisors (see below), whose sum is σ = 21468296239488. Its totient is φ = 5267905280000.

The previous prime is 10645440102617. The next prime is 10645440102707. The reversal of 10645440102656 is 65620104454601.

It is a super-2 number, since 2×10645440102656² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 65360201 + ... + 65522871.

It is an arithmetic number, because the mean of its divisors is an integer number (298170781104).

Almost surely, 2^{10645440102656} is an apocalyptic number.

10645440102656 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 10645440102656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10734148119744).

10645440102656 is an abundant number, since it is smaller than the sum of its proper divisors (10822856136832).

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

10645440102656 is a wasteful number, since it uses less digits than its factorization.

10645440102656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165319 (or 165305 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 44.

The spelling of 10645440102656 in words is "ten trillion, six hundred forty-five billion, four hundred forty million, one hundred two thousand, six hundred fifty-six".