854188153729 has 9 divisors (see below), whose sum is σ = 877933417347. Its totient is φ = 831068715384.

The previous prime is 854188153657. The next prime is 854188153733. The reversal of 854188153729 is 927351881458.

The square root of 854188153729 is 924223.

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

It can be written as a sum of positive squares in only one way, i.e., 764339290225 + 89848863504 = 874265^2 + 299748^2 .

It is a de Polignac number, because none of the positive numbers 2^k-854188153729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (854188153759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34183762 + ... + 34208740.

It is an arithmetic number, because the mean of its divisors is an integer number (97548157483).

Almost surely, 2^854188153729 is an apocalyptic number.

854188153729 is the 924223-rd square number.

854188153729 is the 462112-nd centered octagonal number.

It is an amenable number.

854188153729 is a deficient number, since it is larger than the sum of its proper divisors (23745263618).

854188153729 is an frugal number, since it uses more digits than its factorization.

854188153729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50032 (or 25016 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 61.

The spelling of 854188153729 in words is "eight hundred fifty-four billion, one hundred eighty-eight million, one hundred fifty-three thousand, seven hundred twenty-nine".