1123854414400 has 189 divisors, whose sum is σ = 2939508243019. Its totient is φ = 422826741760.

The previous prime is 1123854414359. The next prime is 1123854414401. The reversal of 1123854414400 is 44144583211.

The square root of 1123854414400 is 1060120.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26288082496 + 1097566331904 = 162136^2 + 1047648^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1123854414400.

It is not an unprimeable number, because it can be changed into a prime (1123854414401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 720880821 + ... + 720882379.

Almost surely, 2^{1123854414400} is an apocalyptic number.

1123854414400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1123854414400 is the 1060120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123854414400

1123854414400 is an abundant number, since it is smaller than the sum of its proper divisors (1815653828619).

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

1123854414400 is an frugal number, since it uses more digits than its factorization.

1123854414400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174 (or 1583 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 37.

Adding to 1123854414400 its reverse (44144583211), we get a palindrome (1167998997611).

The spelling of 1123854414400 in words is "one trillion, one hundred twenty-three billion, eight hundred fifty-four million, four hundred fourteen thousand, four hundred".