810735948311 has 48 divisors (see below), whose sum is σ = 910586147328. Its totient is φ = 720164174400.

The previous prime is 810735948307. The next prime is 810735948397. The reversal of 810735948311 is 113849537018.

It is a happy number.

It is not a de Polignac number, because 810735948311 - 2² = 810735948307 is a prime.

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 810735948311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810735948301) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 157513640 + ... + 157518786.

It is an arithmetic number, because the mean of its divisors is an integer number (18970544736).

Almost surely, 2^810735948311 is an apocalyptic number.

810735948311 is a deficient number, since it is larger than the sum of its proper divisors (99850199017).

810735948311 is a wasteful number, since it uses less digits than its factorization.

810735948311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5580 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 50.

The spelling of 810735948311 in words is "eight hundred ten billion, seven hundred thirty-five million, nine hundred forty-eight thousand, three hundred eleven".