801127343016 has 384 divisors, whose sum is σ = 2915079148800. Its totient is φ = 191953981440.

The previous prime is 801127342979. The next prime is 801127343017. The reversal of 801127343016 is 610343721108.

It is a happy number.

801127343016 is a `hidden beast` number, since 80 + 1 + 1 + 273 + 4 + 301 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (801127343017) 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 95 ways as a sum of consecutive naturals, for example, 161222580 + ... + 161227548.

It is an arithmetic number, because the mean of its divisors is an integer number (7591351950).

Almost surely, 2^801127343016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 801127343016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457539574400).

801127343016 is an abundant number, since it is smaller than the sum of its proper divisors (2113951805784).

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

801127343016 is a wasteful number, since it uses less digits than its factorization.

801127343016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7249 (or 7242 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 801127343016 in words is "eight hundred one billion, one hundred twenty-seven million, three hundred forty-three thousand, sixteen".