854674271013888 has 4224 divisors, whose sum is σ = 3202437465077760. Its totient is φ = 224737099776000.

The previous prime is 854674271013883. The next prime is 854674271013911. The reversal of 854674271013888 is 888310172476458.

854674271013888 is a `hidden beast` number, since 8 + 5 + 4 + 67 + 427 + 1 + 0 + 138 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (854674271013883) 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 383 ways as a sum of consecutive naturals, for example, 3041545448308 + ... + 3041545448588.

Almost surely, 2^{854674271013888} 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 854674271013888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1601218732538880).

854674271013888 is an abundant number, since it is smaller than the sum of its proper divisors (2347763194063872).

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

854674271013888 is a wasteful number, since it uses less digits than its factorization.

854674271013888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 578027520, while the sum is 72.

The spelling of 854674271013888 in words is "eight hundred fifty-four trillion, six hundred seventy-four billion, two hundred seventy-one million, thirteen thousand, eight hundred eighty-eight".