1153384483968 has 192 divisors, whose sum is σ = 3426240898080. Its totient is φ = 372195532800.

The previous prime is 1153384483967. The next prime is 1153384483973. The reversal of 1153384483968 is 8693844833511.

1153384483968 is a `hidden beast` number, since 1 + 1 + 533 + 8 + 4 + 4 + 8 + 3 + 96 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1153384483961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5494543 + ... + 5700593.

Almost surely, 2^{1153384483968} is an apocalyptic number.

1153384483968 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 1153384483968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1713120449040).

1153384483968 is an abundant number, since it is smaller than the sum of its proper divisors (2272856414112).

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

1153384483968 is a wasteful number, since it uses less digits than its factorization.

1153384483968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206227 (or 206212 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 1153384483968 in words is "one trillion, one hundred fifty-three billion, three hundred eighty-four million, four hundred eighty-three thousand, nine hundred sixty-eight".