1146577712667 has 8 divisors (see below), whose sum is σ = 1564323081024. Its totient is φ = 746608743048.

The previous prime is 1146577712641. The next prime is 1146577712741. The reversal of 1146577712667 is 7662177756411.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 1146577712667 - 2⁶ = 1146577712603 is a prime.

It is a super-2 number, since 2×1146577712667² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1146577712667.

It is not an unprimeable number, because it can be changed into a prime (1146577713667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4444099533 + ... + 4444099790.

It is an arithmetic number, because the mean of its divisors is an integer number (195540385128).

Almost surely, 2^{1146577712667} is an apocalyptic number.

1146577712667 is a deficient number, since it is larger than the sum of its proper divisors (417745368357).

1146577712667 is an equidigital number, since it uses as much as digits as its factorization.

1146577712667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8888199369.

The product of its digits is 20744640, while the sum is 60.

The spelling of 1146577712667 in words is "one trillion, one hundred forty-six billion, five hundred seventy-seven million, seven hundred twelve thousand, six hundred sixty-seven".