667046259441 has 27 divisors (see below), whose sum is σ = 979785004107. Its totient is φ = 437309375760.

The previous prime is 667046259427. The next prime is 667046259457. The reversal of 667046259441 is 144952640766.

The square root of 667046259441 is 816729.

It is a perfect power (a square), and thus also a powerful number.

667046259441 is a `hidden beast` number, since 6 + 6 + 7 + 0 + 4 + 6 + 2 + 594 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 21691103841 + 645355155600 = 147279^2 + 803340^2 .

It is a de Polignac number, because none of the positive numbers 2^k-667046259441 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (667046259241) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 149459176 + ... + 149463638.

Almost surely, 2^667046259441 is an apocalyptic number.

667046259441 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

667046259441 is the 816729-th square number.

667046259441 is the 408365-th centered octagonal number.

It is an amenable number.

667046259441 is a deficient number, since it is larger than the sum of its proper divisors (312738744666).

667046259441 is an frugal number, since it uses more digits than its factorization.

667046259441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9054 (or 4527 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 667046259441 in words is "six hundred sixty-seven billion, forty-six million, two hundred fifty-nine thousand, four hundred forty-one".