101441456656 has 20 divisors (see below), whose sum is σ = 203320161900. Its totient is φ = 48971737472.

The previous prime is 101441456603. The next prime is 101441456663. The reversal of 101441456656 is 656654144101.

It can be written as a sum of positive squares in 2 ways, for example, as 55499821056 + 45941635600 = 235584^2 + 214340^2 .

It is a super-2 number, since 2×101441456656² (a number of 23 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 3 ways as a sum of consecutive naturals, for example, 109311451 + ... + 109312378.

It is an arithmetic number, because the mean of its divisors is an integer number (10166008095).

Almost surely, 2^101441456656 is an apocalyptic number.

101441456656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101441456656 is an abundant number, since it is smaller than the sum of its proper divisors (101878705244).

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

101441456656 is a wasteful number, since it uses less digits than its factorization.

101441456656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218623866 (or 218623860 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 43.

The spelling of 101441456656 in words is "one hundred one billion, four hundred forty-one million, four hundred fifty-six thousand, six hundred fifty-six".