47767491428409 has 27 divisors (see below), whose sum is σ = 69676984983333. Its totient is φ = 31534409657592.

The previous prime is 47767491428299. The next prime is 47767491428479. The reversal of 47767491428409 is 90482419476774.

It is a happy number.

The square root of 47767491428409 is 6911403.

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

47767491428409 is a `hidden beast` number, since 4 + 7 + 7 + 6 + 74 + 9 + 142 + 8 + 409 = 666.

It is not a de Polignac number, because 47767491428409 - 2¹⁵ = 47767491395641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47767491428479) 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, 2135612344 + ... + 2135634710.

Almost surely, 2^{47767491428409} is an apocalyptic number.

47767491428409 is the 6911403-rd square number.

47767491428409 is the 3455702-nd centered octagonal number.

It is an amenable number.

47767491428409 is a deficient number, since it is larger than the sum of its proper divisors (21909493554924).

47767491428409 is an frugal number, since it uses more digits than its factorization.

47767491428409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44946 (or 22473 counting only the distinct ones).

The product of its (nonzero) digits is 682795008, while the sum is 72.

The spelling of 47767491428409 in words is "forty-seven trillion, seven hundred sixty-seven billion, four hundred ninety-one million, four hundred twenty-eight thousand, four hundred nine".