1128946693680 has 480 divisors, whose sum is σ = 4462679370240. Its totient is φ = 253109698560.

The previous prime is 1128946693669. The next prime is 1128946693691. The reversal of 1128946693680 is 863966498211.

1128946693680 is a `hidden beast` number, since 1 + 1 + 2 + 8 + 9 + 466 + 93 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1128946693669) and next prime (1128946693691).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4818286 + ... + 5047154.

It is an arithmetic number, because the mean of its divisors is an integer number (9297248688).

Almost surely, 2^{1128946693680} is an apocalyptic number.

1128946693680 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 1128946693680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2231339685120).

1128946693680 is an abundant number, since it is smaller than the sum of its proper divisors (3333732676560).

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

1128946693680 is a wasteful number, since it uses less digits than its factorization.

1128946693680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228949 (or 228940 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 1128946693680 in words is "one trillion, one hundred twenty-eight billion, nine hundred forty-six million, six hundred ninety-three thousand, six hundred eighty".