854164124100 has 729 divisors, whose sum is σ = 3254029754157. Its totient is φ = 194039737920.

The previous prime is 854164124087. The next prime is 854164124111. The reversal of 854164124100 is 1421461458.

The square root of 854164124100 is 924210.

It is a perfect power (a square), and thus also a powerful number.

854164124100 is a `hidden beast` number, since 8 + 5 + 4 + 1 + 641 + 2 + 4 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 307499084676 + 546665039424 = 554526^2 + 739368^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 5240270619 + ... + 5240270781.

Almost surely, 2^854164124100 is an apocalyptic number.

854164124100 is the 924210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854164124100

854164124100 is an abundant number, since it is smaller than the sum of its proper divisors (2399865630057).

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

854164124100 is an equidigital number, since it uses as much as digits as its factorization.

854164124100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

Multiplying 854164124100 by its sum of digits (36), we get a square (30749908467600 = 5545260²).

854164124100 divided by its sum of digits (36) gives a square (23726781225 = 154035²).

Adding to 854164124100 its reverse (1421461458), we get a palindrome (855585585558).

The spelling of 854164124100 in words is "eight hundred fifty-four billion, one hundred sixty-four million, one hundred twenty-four thousand, one hundred".