1014032312991 has 16 divisors (see below), whose sum is σ = 1517144058720. Its totient is φ = 669328257600.

The previous prime is 1014032312981. The next prime is 1014032313023. The reversal of 1014032312991 is 1992132304101.

It is a happy number.

1014032312991 is a `hidden beast` number, since 1 + 0 + 1 + 40 + 323 + 1 + 299 + 1 = 666.

It is not a de Polignac number, because 1014032312991 - 2⁷ = 1014032312863 is a prime.

It is a super-3 number, since 3×1014032312991³ (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014032312941) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 185921790 + ... + 185927243.

It is an arithmetic number, because the mean of its divisors is an integer number (94821503670).

Almost surely, 2^{1014032312991} is an apocalyptic number.

1014032312991 is a deficient number, since it is larger than the sum of its proper divisors (503111745729).

1014032312991 is a wasteful number, since it uses less digits than its factorization.

1014032312991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 371849143 (or 371849137 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 1014032312991 in words is "one trillion, fourteen billion, thirty-two million, three hundred twelve thousand, nine hundred ninety-one".