854404153344 has 600 divisors, whose sum is σ = 2978363018400. Its totient is φ = 243985416192.

The previous prime is 854404153199. The next prime is 854404153367. The reversal of 854404153344 is 443351404458.

854404153344 is a `hidden beast` number, since 8 + 54 + 404 + 153 + 3 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 854404153344.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 455195734 + ... + 455197610.

It is an arithmetic number, because the mean of its divisors is an integer number (4963938364).

Almost surely, 2^854404153344 is an apocalyptic number.

854404153344 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 854404153344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1489181509200).

854404153344 is an abundant number, since it is smaller than the sum of its proper divisors (2123958865056).

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

854404153344 is an frugal number, since it uses more digits than its factorization.

854404153344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1889 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 854404153344 in words is "eight hundred fifty-four billion, four hundred four million, one hundred fifty-three thousand, three hundred forty-four".