854496872100 has 135 divisors (see below), whose sum is σ = 2770210992241. Its totient is φ = 227843647200.

The previous prime is 854496872059. The next prime is 854496872101. The reversal of 854496872100 is 1278694458.

It is a happy number.

The square root of 854496872100 is 924390.

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

854496872100 is a `hidden beast` number, since 8 + 54 + 496 + 87 + 21 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 307618873956 + 546877998144 = 554634^2 + 739512^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (854496872101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 83189965 + ... + 83200235.

Almost surely, 2^854496872100 is an apocalyptic number.

854496872100 is the 924390-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 854496872100

854496872100 is an abundant number, since it is smaller than the sum of its proper divisors (1915714120141).

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

854496872100 is an equidigital number, since it uses as much as digits as its factorization.

854496872100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20568 (or 10281 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

It can be divided in two parts, 854496 and 872100, that added together give a square (1726596 = 1314²).

The spelling of 854496872100 in words is "eight hundred fifty-four billion, four hundred ninety-six million, eight hundred seventy-two thousand, one hundred".