464004506112200 has 48 divisors (see below), whose sum is σ = 1125715280057280. Its totient is φ = 177532158858560.

The previous prime is 464004506112157. The next prime is 464004506112247. The reversal of 464004506112200 is 2211605400464.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 50435267804 + ... + 50435277003.

It is an arithmetic number, because the mean of its divisors is an integer number (23452401667860).

Almost surely, 2^{464004506112200} is an apocalyptic number.

464004506112200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464004506112200 is an abundant number, since it is smaller than the sum of its proper divisors (661710773945080).

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

464004506112200 is a wasteful number, since it uses less digits than its factorization.

464004506112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100870544846 (or 100870544837 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 35.

The spelling of 464004506112200 in words is "four hundred sixty-four trillion, four billion, five hundred six million, one hundred twelve thousand, two hundred".