1115564240448 has 1008 divisors, whose sum is σ = 4046902142400. Its totient is φ = 291999375360.

The previous prime is 1115564240407. The next prime is 1115564240459. The reversal of 1115564240448 is 8440424655111.

1115564240448 is a `hidden beast` number, since 1 + 1 + 1 + 5 + 564 + 2 + 40 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2191678018 + ... + 2191678526.

Almost surely, 2^{1115564240448} is an apocalyptic number.

1115564240448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1115564240448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2023451071200).

1115564240448 is an abundant number, since it is smaller than the sum of its proper divisors (2931337901952).

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

1115564240448 is a wasteful number, since it uses less digits than its factorization.

1115564240448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

Adding to 1115564240448 its reverse (8440424655111), we get a palindrome (9555988895559).

The spelling of 1115564240448 in words is "one trillion, one hundred fifteen billion, five hundred sixty-four million, two hundred forty thousand, four hundred forty-eight".