854049009906 has 48 divisors (see below), whose sum is σ = 1853212420800. Its totient is φ = 284256609120.

The previous prime is 854049009851. The next prime is 854049009907. The reversal of 854049009906 is 609900940458.

854049009906 is a `hidden beast` number, since 8 + 540 + 4 + 9 + 0 + 0 + 9 + 90 + 6 = 666.

854049009906 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×854049009906² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (854049009907) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76597620 + ... + 76608768.

It is an arithmetic number, because the mean of its divisors is an integer number (38608592100).

Almost surely, 2^854049009906 is an apocalyptic number.

854049009906 is an abundant number, since it is smaller than the sum of its proper divisors (999163410894).

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

854049009906 is a wasteful number, since it uses less digits than its factorization.

854049009906 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17151 (or 17148 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 854049009906 in words is "eight hundred fifty-four billion, forty-nine million, nine thousand, nine hundred six".