906414656491 has 8 divisors (see below), whose sum is σ = 908776943360. Its totient is φ = 904053723048.

The previous prime is 906414656489. The next prime is 906414656501. The reversal of 906414656491 is 194656414609.

906414656491 is a nontrivial binomial coefficient, being equal to C(1346414, 2).

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

It is a 3-Lehmer number, since φ(906414656491) divides (906414656491-1)³.

It is a cyclic number.

It is a Carmichael number.

It is not a de Polignac number, because 906414656491 - 2¹ = 906414656489 is a prime.

It is a deceptive number, since it divides R_906414656490.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (906414056491) 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 7 ways as a sum of consecutive naturals, for example, 1009810 + ... + 1683016.

It is an arithmetic number, because the mean of its divisors is an integer number (113597117920).

It is a Poulet number, since it divides 2^906414656490-1.

Almost surely, 2^906414656491 is an apocalyptic number.

906414656491 is the 1346413-rd triangular number and also the 673207-th hexagonal number.

906414656491 is the 448805-th centered nonagonal number.

906414656491 is a deficient number, since it is larger than the sum of its proper divisors (2362286869).

906414656491 is a wasteful number, since it uses less digits than its factorization.

906414656491 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676713.

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 906414656491 in words is "nine hundred six billion, four hundred fourteen million, six hundred fifty-six thousand, four hundred ninety-one".