854273006496 has 1152 divisors, whose sum is σ = 3245145845760. Its totient is φ = 206928691200.

The previous prime is 854273006471. The next prime is 854273006497. The reversal of 854273006496 is 694600372458.

854273006496 is a `hidden beast` number, since 8 + 542 + 7 + 3 + 0 + 0 + 6 + 4 + 96 = 666.

854273006496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (854273006497) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2580885051 + ... + 2580885381.

It is an arithmetic number, because the mean of its divisors is an integer number (2816966880).

Almost surely, 2^854273006496 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 854273006496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1622572922880).

854273006496 is an abundant number, since it is smaller than the sum of its proper divisors (2390872839264).

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

854273006496 is a wasteful number, since it uses less digits than its factorization.

854273006496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 854273006496 in words is "eight hundred fifty-four billion, two hundred seventy-three million, six thousand, four hundred ninety-six".