1132618908960 has 768 divisors, whose sum is σ = 5010147717120. Its totient is φ = 232120442880.

The previous prime is 1132618908907. The next prime is 1132618908977. The reversal of 1132618908960 is 698098162311.

1132618908960 is a `hidden beast` number, since 1 + 1 + 326 + 189 + 0 + 89 + 60 = 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 = 1132618908897 and 1132618908906.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24259399 + ... + 24306041.

It is an arithmetic number, because the mean of its divisors is an integer number (6523629840).

Almost surely, 2^{1132618908960} is an apocalyptic number.

1132618908960 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 1132618908960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2505073858560).

1132618908960 is an abundant number, since it is smaller than the sum of its proper divisors (3877528808160).

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

1132618908960 is a wasteful number, since it uses less digits than its factorization.

1132618908960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46758 (or 46744 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 1132618908960 in words is "one trillion, one hundred thirty-two billion, six hundred eighteen million, nine hundred eight thousand, nine hundred sixty".