446485937946048 has 3136 divisors, whose sum is σ = 1872664420515840. Its totient is φ = 101821009305600.

The previous prime is 446485937946001. The next prime is 446485937946067. The reversal of 446485937946048 is 840649739584644.

446485937946048 is a `hidden beast` number, since 4 + 4 + 6 + 4 + 85 + 9 + 3 + 79 + 460 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 85419155211 + ... + 85419160437.

Almost surely, 2^{446485937946048} is an apocalyptic number.

446485937946048 is a gapful number since it is divisible by the number (48) 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 446485937946048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936332210257920).

446485937946048 is an abundant number, since it is smaller than the sum of its proper divisors (1426178482569792).

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

446485937946048 is a wasteful number, since it uses less digits than its factorization.

446485937946048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5353 counting only the distinct ones).

The product of its (nonzero) digits is 20065812480, while the sum is 81.

The spelling of 446485937946048 in words is "four hundred forty-six trillion, four hundred eighty-five billion, nine hundred thirty-seven million, nine hundred forty-six thousand, forty-eight".