1115473945600 has 891 divisors, whose sum is σ = 3446393011131. Its totient is φ = 356897587200.

The previous prime is 1115473945549. The next prime is 1115473945631. The reversal of 1115473945600 is 65493745111.

The square root of 1115473945600 is 1056160.

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 469520966656 + 645952978944 = 685216^2 + 803712^2 .

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 27206681580 + ... + 27206681620.

Almost surely, 2^{1115473945600} is an apocalyptic number.

1115473945600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1115473945600 is the 1056160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1115473945600

1115473945600 is an abundant number, since it is smaller than the sum of its proper divisors (2330919065531).

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

1115473945600 is an equidigital number, since it uses as much as digits as its factorization.

1115473945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 1115473945600 in words is "one trillion, one hundred fifteen billion, four hundred seventy-three million, nine hundred forty-five thousand, six hundred".