464221101600 has 108 divisors (see below), whose sum is σ = 1636959684906. Its totient is φ = 123792291840.

The previous prime is 464221101599. The next prime is 464221101671. The reversal of 464221101600 is 6101122464.

464221101600 is a `hidden beast` number, since 4 + 6 + 42 + 2 + 1 + 10 + 1 + 600 = 666.

464221101600 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 288717080976 + 175504020624 = 537324^2 + 418932^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 32230377 + ... + 32244776.

Almost surely, 2^464221101600 is an apocalyptic number.

464221101600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

464221101600 is an abundant number, since it is smaller than the sum of its proper divisors (1172738583306).

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

464221101600 is a wasteful number, since it uses less digits than its factorization.

464221101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64475179 (or 64475163 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 464221101600 in words is "four hundred sixty-four billion, two hundred twenty-one million, one hundred one thousand, six hundred".