800101626256 has 15 divisors (see below), whose sum is σ = 1550203833153. Its totient is φ = 400049024160.

The previous prime is 800101626229. The next prime is 800101626287. The reversal of 800101626256 is 652626101008.

The square root of 800101626256 is 894484.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 697752819856 + 102348806400 = 835316^2 + 319920^2 .

It is a super-2 number, since 2×800101626256² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 3466126 + ... + 3689746.

Almost surely, 2^800101626256 is an apocalyptic number.

800101626256 is the 894484-th square number.

It is an amenable number.

800101626256 is a deficient number, since it is larger than the sum of its proper divisors (750102206897).

800101626256 is an frugal number, since it uses more digits than its factorization.

800101626256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447250 (or 223623 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The spelling of 800101626256 in words is "eight hundred billion, one hundred one million, six hundred twenty-six thousand, two hundred fifty-six".