446812022875680 has 2880 divisors, whose sum is σ = 2033393014920960. Its totient is φ = 90391707648000.

The previous prime is 446812022875643. The next prime is 446812022875753. The reversal of 446812022875680 is 86578220218644.

It is a happy number.

446812022875680 is a `hidden beast` number, since 4 + 4 + 68 + 1 + 2 + 0 + 2 + 2 + 8 + 7 + 568 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 346097615835 + ... + 346097617125.

It is an arithmetic number, because the mean of its divisors is an integer number (706039241292).

Almost surely, 2^{446812022875680} is an apocalyptic number.

446812022875680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 446812022875680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016696507460480).

446812022875680 is an abundant number, since it is smaller than the sum of its proper divisors (1586580992045280).

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

446812022875680 is a wasteful number, since it uses less digits than its factorization.

446812022875680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2129 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 446812022875680 in words is "four hundred forty-six trillion, eight hundred twelve billion, twenty-two million, eight hundred seventy-five thousand, six hundred eighty".