10854244198084 has 81 divisors (see below), whose sum is σ = 22269402450477. Its totient is φ = 4615624708128.

The previous prime is 10854244198079. The next prime is 10854244198103. The reversal of 10854244198084 is 48089144245801.

It is a happy number.

The square root of 10854244198084 is 3294578.

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., 4135406944900 + 6718837253184 = 2033570^2 + 2592072^2 .

It is a super-2 number, since 2×10854244198084² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6411247942 + ... + 6411249634.

Almost surely, 2^{10854244198084} is an apocalyptic number.

10854244198084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10854244198084 is the 3294578-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10854244198084

10854244198084 is an abundant number, since it is smaller than the sum of its proper divisors (11415158252393).

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

10854244198084 is an frugal number, since it uses more digits than its factorization.

10854244198084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3682 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 58.

The spelling of 10854244198084 in words is "ten trillion, eight hundred fifty-four billion, two hundred forty-four million, one hundred ninety-eight thousand, eighty-four".