1115188760448 has 768 divisors, whose sum is σ = 3903735513600. Its totient is φ = 306983706624.

The previous prime is 1115188760429. The next prime is 1115188760471. The reversal of 1115188760448 is 8440678815111.

It is a happy number.

1115188760448 is a `hidden beast` number, since 1 + 1 + 1 + 51 + 88 + 76 + 0 + 448 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1115188760394 and 1115188760403.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 4786217740 + ... + 4786217972.

It is an arithmetic number, because the mean of its divisors is an integer number (5082988950).

Almost surely, 2^{1115188760448} is an apocalyptic number.

1115188760448 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 1115188760448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1951867756800).

1115188760448 is an abundant number, since it is smaller than the sum of its proper divisors (2788546753152).

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

1115188760448 is a wasteful number, since it uses less digits than its factorization.

1115188760448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 54.

The spelling of 1115188760448 in words is "one trillion, one hundred fifteen billion, one hundred eighty-eight million, seven hundred sixty thousand, four hundred forty-eight".