46466444466464 has 24 divisors (see below), whose sum is σ = 99797250048048. Its totient is φ = 21121111120960.

The previous prime is 46466444466419. The next prime is 46466444466493.

46466444466464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×46466444466464² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 46466444466394 and 46466444466403.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 66003471902 + ... + 66003472605.

It is an arithmetic number, because the mean of its divisors is an integer number (4158218752002).

Almost surely, 2^{46466444466464} is an apocalyptic number.

46466444466464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46466444466464 is an abundant number, since it is smaller than the sum of its proper divisors (53330805581584).

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

46466444466464 is a wasteful number, since it uses less digits than its factorization.

46466444466464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132006944528 (or 132006944520 counting only the distinct ones).

The product of its digits is 3057647616, while the sum is 68.

The spelling of 46466444466464 in words is "forty-six trillion, four hundred sixty-six billion, four hundred forty-four million, four hundred sixty-six thousand, four hundred sixty-four".