1113148284480 has 224 divisors, whose sum is σ = 3928642058880. Its totient is φ = 296710871040.

The previous prime is 1113148284463. The next prime is 1113148284497. The reversal of 1113148284480 is 844828413111.

1113148284480 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 14 + 82 + 84 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (1113148284463) and next prime (1113148284497).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20804322 + ... + 20857758.

It is an arithmetic number, because the mean of its divisors is an integer number (17538580620).

Almost surely, 2^{1113148284480} is an apocalyptic number.

1113148284480 is a gapful number since it is divisible by the number (10) 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 1113148284480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964321029440).

1113148284480 is an abundant number, since it is smaller than the sum of its proper divisors (2815493774400).

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

1113148284480 is a wasteful number, since it uses less digits than its factorization.

1113148284480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55874 (or 55858 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 45.

The spelling of 1113148284480 in words is "one trillion, one hundred thirteen billion, one hundred forty-eight million, two hundred eighty-four thousand, four hundred eighty".