1113468144100 has 81 divisors (see below), whose sum is σ = 2616708969777. Its totient is φ = 411076049280.

The previous prime is 1113468144083. The next prime is 1113468144101. The reversal of 1113468144100 is 14418643111.

The square root of 1113468144100 is 1055210.

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

It can be written as a sum of positive squares in 13 ways, for example, as 622448414116 + 491019729984 = 788954^2 + 700728^2 .

It is a super-2 number, since 2×1113468144100² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1113468144101) 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 26 ways as a sum of consecutive naturals, for example, 137173242 + ... + 137181358.

Almost surely, 2^{1113468144100} is an apocalyptic number.

1113468144100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1113468144100 is the 1055210-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113468144100

1113468144100 is an abundant number, since it is smaller than the sum of its proper divisors (1503240825677).

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

1113468144100 is an frugal number, since it uses more digits than its factorization.

1113468144100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16274 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The spelling of 1113468144100 in words is "one trillion, one hundred thirteen billion, four hundred sixty-eight million, one hundred forty-four thousand, one hundred".