806144431604772 has 96 divisors (see below), whose sum is σ = 2132797500933120. Its totient is φ = 234935949985920.

The previous prime is 806144431604689. The next prime is 806144431604773. The reversal of 806144431604772 is 277406134441608.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (806144431604773) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17955078 + ... + 43984925.

It is an arithmetic number, because the mean of its divisors is an integer number (22216640634720).

Almost surely, 2^{806144431604772} is an apocalyptic number.

It is an amenable number.

806144431604772 is an abundant number, since it is smaller than the sum of its proper divisors (1326653069328348).

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

806144431604772 is a wasteful number, since it uses less digits than its factorization.

806144431604772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61944433 (or 61944431 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 57.

The spelling of 806144431604772 in words is "eight hundred six trillion, one hundred forty-four billion, four hundred thirty-one million, six hundred four thousand, seven hundred seventy-two".