462446512344012 has 288 divisors, whose sum is σ = 1408999441360896. Its totient is φ = 117091360512000.

The previous prime is 462446512343951. The next prime is 462446512344079. The reversal of 462446512344012 is 210443215644264.

It is a super-2 number, since 2×462446512344012² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8701614 + ... + 31632437.

It is an arithmetic number, because the mean of its divisors is an integer number (4892359171392).

Almost surely, 2^{462446512344012} is an apocalyptic number.

462446512344012 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

462446512344012 is an abundant number, since it is smaller than the sum of its proper divisors (946552929016884).

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

462446512344012 is a wasteful number, since it uses less digits than its factorization.

462446512344012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40334157 (or 40334148 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 48.

Adding to 462446512344012 its reverse (210443215644264), we get a palindrome (672889727988276).

The spelling of 462446512344012 in words is "four hundred sixty-two trillion, four hundred forty-six billion, five hundred twelve million, three hundred forty-four thousand, twelve".