456617198047 has 8 divisors (see below), whose sum is σ = 457494406400. Its totient is φ = 455740795224.

The previous prime is 456617198041. The next prime is 456617198069. The reversal of 456617198047 is 740891716654.

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

It is a cyclic number.

It is not a de Polignac number, because 456617198047 - 2³¹ = 454469714399 is a prime.

It is a super-2 number, since 2×456617198047² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456617197982 and 456617198000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456617198041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 939604 + ... + 1340182.

It is an arithmetic number, because the mean of its divisors is an integer number (57186800800).

Almost surely, 2^456617198047 is an apocalyptic number.

456617198047 is a deficient number, since it is larger than the sum of its proper divisors (877208353).

456617198047 is a wasteful number, since it uses less digits than its factorization.

456617198047 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402765.

The product of its (nonzero) digits is 10160640, while the sum is 58.

The spelling of 456617198047 in words is "four hundred fifty-six billion, six hundred seventeen million, one hundred ninety-eight thousand, forty-seven".