1128336415848 has 384 divisors, whose sum is σ = 3462695308800. Its totient is φ = 342838738944.

The previous prime is 1128336415841. The next prime is 1128336415883. The reversal of 1128336415848 is 8485146338211.

It is a happy number.

1128336415848 is a `hidden beast` number, since 1 + 1 + 28 + 3 + 36 + 4 + 1 + 584 + 8 = 666.

It is a super-3 number, since 3×1128336415848³ (a number of 37 digits) contains 333 as substring.

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 = 1128336415794 and 1128336415803.

It is not an unprimeable number, because it can be changed into a prime (1128336415841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 150662088 + ... + 150669576.

It is an arithmetic number, because the mean of its divisors is an integer number (9017435700).

Almost surely, 2^{1128336415848} is an apocalyptic number.

1128336415848 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 1128336415848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1731347654400).

1128336415848 is an abundant number, since it is smaller than the sum of its proper divisors (2334358892952).

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

1128336415848 is a wasteful number, since it uses less digits than its factorization.

1128336415848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7671 (or 7655 counting only the distinct ones).

The product of its digits is 4423680, while the sum is 54.

The spelling of 1128336415848 in words is "one trillion, one hundred twenty-eight billion, three hundred thirty-six million, four hundred fifteen thousand, eight hundred forty-eight".