854738748864 has 504 divisors, whose sum is σ = 3348205097328. Its totient is φ = 204931399680.

The previous prime is 854738748859. The next prime is 854738748881. The reversal of 854738748864 is 468847837458.

854738748864 is a `hidden beast` number, since 8 + 5 + 4 + 7 + 3 + 87 + 488 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×854738748864² (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 854738748792 and 854738748801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3930144 + ... + 4141920.

It is an arithmetic number, because the mean of its divisors is an integer number (6643264082).

Almost surely, 2^854738748864 is an apocalyptic number.

854738748864 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854738748864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674102548664).

854738748864 is an abundant number, since it is smaller than the sum of its proper divisors (2493466348464).

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

854738748864 is a wasteful number, since it uses less digits than its factorization.

854738748864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211833 (or 211813 counting only the distinct ones).

The product of its digits is 1156055040, while the sum is 72.

The spelling of 854738748864 in words is "eight hundred fifty-four billion, seven hundred thirty-eight million, seven hundred forty-eight thousand, eight hundred sixty-four".