1000667461001 has 16 divisors (see below), whose sum is σ = 1080105062400. Its totient is φ = 921582516288.

The previous prime is 1000667460977. The next prime is 1000667461007. The reversal of 1000667461001 is 1001647660001.

It is a happy number.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1000667461001 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1000667461007) 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 15 ways as a sum of consecutive naturals, for example, 39323240 + ... + 39348678.

It is an arithmetic number, because the mean of its divisors is an integer number (67506566400).

Almost surely, 2^{1000667461001} is an apocalyptic number.

It is an amenable number.

1000667461001 is a deficient number, since it is larger than the sum of its proper divisors (79437601399).

1000667461001 is a wasteful number, since it uses less digits than its factorization.

1000667461001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32248.

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 1000667461001 in words is "one trillion, six hundred sixty-seven million, four hundred sixty-one thousand, one".