800114149081 has 27 divisors (see below), whose sum is σ = 878019192189. Its totient is φ = 728788331232.

The previous prime is 800114149073. The next prime is 800114149103. The reversal of 800114149081 is 180941411008.

The square root of 800114149081 is 894491.

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

It can be written as a sum of positive squares in 4 ways, for example, as 76621008025 + 723493141056 = 276805^2 + 850584^2 .

It is not a de Polignac number, because 800114149081 - 2³ = 800114149073 is a prime.

It is a super-2 number, since 2×800114149081² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 800114149081.

It is not an unprimeable number, because it can be changed into a prime (800114149061) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 965155375 + ... + 965156203.

Almost surely, 2^800114149081 is an apocalyptic number.

800114149081 is the 894491-st square number.

800114149081 is the 447246-th centered octagonal number.

It is an amenable number.

800114149081 is a deficient number, since it is larger than the sum of its proper divisors (77905043108).

800114149081 is an frugal number, since it uses more digits than its factorization.

800114149081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 925 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 37.

The spelling of 800114149081 in words is "eight hundred billion, one hundred fourteen million, one hundred forty-nine thousand, eighty-one".