46468288286464 has 54 divisors (see below), whose sum is σ = 101953908797720. Its totient is φ = 21121949207040.

The previous prime is 46468288286447. The next prime is 46468288286477.

46468288286464 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 750038244 + ... + 750100195.

Almost surely, 2^{46468288286464} is an apocalyptic number.

46468288286464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46468288286464 is an abundant number, since it is smaller than the sum of its proper divisors (55485620511256).

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

46468288286464 is a wasteful number, since it uses less digits than its factorization.

46468288286464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1500138477 (or 1500138452 counting only the distinct ones).

The product of its digits is 5435817984, while the sum is 76.

The spelling of 46468288286464 in words is "forty-six trillion, four hundred sixty-eight billion, two hundred eighty-eight million, two hundred eighty-six thousand, four hundred sixty-four".