10859318441104 has 675 divisors, whose sum is σ = 27905443131993. Its totient is φ = 4092347685888.

The previous prime is 10859318441057. The next prime is 10859318441107. The reversal of 10859318441104 is 40114481395801.

The square root of 10859318441104 is 3295348.

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., 8454486675600 + 2404831765504 = 2907660^2 + 1550752^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10859318441107) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 252542289307 + ... + 252542289349.

Almost surely, 2^{10859318441104} is an apocalyptic number.

10859318441104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10859318441104 is the 3295348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10859318441104

10859318441104 is an abundant number, since it is smaller than the sum of its proper divisors (17046124690889).

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

10859318441104 is an frugal number, since it uses more digits than its factorization.

10859318441104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 49.

Multiplying 10859318441104 by its sum of digits (49), we get a square (532106603614096 = 23067436²).

10859318441104 divided by its sum of digits (49) gives a square (221618743696 = 470764²).

The spelling of 10859318441104 in words is "ten trillion, eight hundred fifty-nine billion, three hundred eighteen million, four hundred forty-one thousand, one hundred four".