446913600493680 has 80 divisors (see below), whose sum is σ = 1539369068374560. Its totient is φ = 119176960131072.

The previous prime is 446913600493673. The next prime is 446913600493687. The reversal of 446913600493680 is 86394006319644.

446913600493680 is a `hidden beast` number, since 4 + 4 + 6 + 9 + 1 + 3 + 60 + 0 + 493 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (446913600493673) and next prime (446913600493687).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×446913600493680² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (446913600493687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103452220177 + ... + 103452224496.

It is an arithmetic number, because the mean of its divisors is an integer number (19242113354682).

Almost surely, 2^{446913600493680} is an apocalyptic number.

446913600493680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

446913600493680 is an abundant number, since it is smaller than the sum of its proper divisors (1092455467880880).

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

446913600493680 is a wasteful number, since it uses less digits than its factorization.

446913600493680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206904444695 (or 206904444683 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 446913600493680 in words is "four hundred forty-six trillion, nine hundred thirteen billion, six hundred million, four hundred ninety-three thousand, six hundred eighty".