1150613668512 has 1152 divisors, whose sum is σ = 4422524682240. Its totient is φ = 284526950400.

The previous prime is 1150613668487. The next prime is 1150613668531. The reversal of 1150613668512 is 2158663160511.

It is a happy number.

1150613668512 is a `hidden beast` number, since 1 + 1 + 506 + 1 + 3 + 66 + 85 + 1 + 2 = 666.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 1519964838 + ... + 1519965594.

It is an arithmetic number, because the mean of its divisors is an integer number (3838997120).

Almost surely, 2^{1150613668512} is an apocalyptic number.

1150613668512 is a gapful number since it is divisible by the number (12) 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 1150613668512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2211262341120).

1150613668512 is an abundant number, since it is smaller than the sum of its proper divisors (3271911013728).

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

1150613668512 is a wasteful number, since it uses less digits than its factorization.

1150613668512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 1150613668512 in words is "one trillion, one hundred fifty billion, six hundred thirteen million, six hundred sixty-eight thousand, five hundred twelve".