1146358333728 has 192 divisors, whose sum is σ = 3452822553600. Its totient is φ = 369640765440.

The previous prime is 1146358333711. The next prime is 1146358333741. The reversal of 1146358333728 is 8273338536411.

1146358333728 is a `hidden beast` number, since 1 + 1 + 4 + 6 + 3 + 583 + 3 + 37 + 28 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77907300 + ... + 77922012.

It is an arithmetic number, because the mean of its divisors is an integer number (17983450800).

Almost surely, 2^{1146358333728} is an apocalyptic number.

1146358333728 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 1146358333728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1726411276800).

1146358333728 is an abundant number, since it is smaller than the sum of its proper divisors (2306464219872).

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

1146358333728 is a wasteful number, since it uses less digits than its factorization.

1146358333728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17672 (or 17658 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 1146358333728 in words is "one trillion, one hundred forty-six billion, three hundred fifty-eight million, three hundred thirty-three thousand, seven hundred twenty-eight".