814011417632 has 48 divisors (see below), whose sum is σ = 1847733939072. Its totient is φ = 345774750720.

The previous prime is 814011417631. The next prime is 814011417649. The reversal of 814011417632 is 236714110418.

It is a super-2 number, since 2×814011417632² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (814011417631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16054244 + ... + 16104867.

It is an arithmetic number, because the mean of its divisors is an integer number (38494457064).

Almost surely, 2^814011417632 is an apocalyptic number.

It is an amenable number.

814011417632 is an abundant number, since it is smaller than the sum of its proper divisors (1033722521440).

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

814011417632 is a wasteful number, since it uses less digits than its factorization.

814011417632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32159241 (or 32159233 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 38.

The spelling of 814011417632 in words is "eight hundred fourteen billion, eleven million, four hundred seventeen thousand, six hundred thirty-two".