413563825467 has 64 divisors (see below), whose sum is σ = 705160028160. Its totient is φ = 237291213312.

The previous prime is 413563825457. The next prime is 413563825481. The reversal of 413563825467 is 764528365314.

413563825467 is a `hidden beast` number, since 4 + 1 + 35 + 63 + 8 + 2 + 546 + 7 = 666.

It is not a de Polignac number, because 413563825467 - 2¹⁴ = 413563809083 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (413563825427) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 314598 + ... + 962340.

It is an arithmetic number, because the mean of its divisors is an integer number (11018125440).

Almost surely, 2^413563825467 is an apocalyptic number.

413563825467 is a deficient number, since it is larger than the sum of its proper divisors (291596202693).

413563825467 is a wasteful number, since it uses less digits than its factorization.

413563825467 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 647889 (or 647883 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 413563825467 in words is "four hundred thirteen billion, five hundred sixty-three million, eight hundred twenty-five thousand, four hundred sixty-seven".