466358556072768 has 56 divisors (see below), whose sum is σ = 1267255851149472. Its totient is φ = 151251423588864.

The previous prime is 466358556072767. The next prime is 466358556072769. The reversal of 466358556072768 is 867270655853664.

It is an interprime number because it is at equal distance from previous prime (466358556072767) and next prime (466358556072769).

It is a super-2 number, since 2×466358556072768² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 466358556072693 and 466358556072702.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (466358556072767) 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, 32823652530 + ... + 32823666737.

Almost surely, 2^{466358556072768} is an apocalyptic number.

466358556072768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

466358556072768 is an abundant number, since it is smaller than the sum of its proper divisors (800897295076704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

466358556072768 is a wasteful number, since it uses less digits than its factorization.

466358556072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65647319319 (or 65647319309 counting only the distinct ones).

The product of its (nonzero) digits is 12192768000, while the sum is 78.

The spelling of 466358556072768 in words is "four hundred sixty-six trillion, three hundred fifty-eight billion, five hundred fifty-six million, seventy-two thousand, seven hundred sixty-eight".