800142880033 has 16 divisors (see below), whose sum is σ = 963655278336. Its totient is φ = 649522526400.

The previous prime is 800142880013. The next prime is 800142880037. The reversal of 800142880033 is 330088241008.

800142880033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 800142880033 - 2²⁹ = 799606009121 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 800142879974 and 800142880001.

It is not an unprimeable number, because it can be changed into a prime (800142880037) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24586866 + ... + 24619387.

It is an arithmetic number, because the mean of its divisors is an integer number (60228454896).

Almost surely, 2^800142880033 is an apocalyptic number.

It is an amenable number.

800142880033 is a deficient number, since it is larger than the sum of its proper divisors (163512398303).

800142880033 is a wasteful number, since it uses less digits than its factorization.

800142880033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49206384.

The product of its (nonzero) digits is 36864, while the sum is 37.

The spelling of 800142880033 in words is "eight hundred billion, one hundred forty-two million, eight hundred eighty thousand, thirty-three".