446468385132 has 480 divisors, whose sum is σ = 1512075350016. Its totient is φ = 111479846400.

The previous prime is 446468385113. The next prime is 446468385151. The reversal of 446468385132 is 231583864644.

446468385132 is a `hidden beast` number, since 4 + 4 + 6 + 46 + 83 + 8 + 513 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (446468385113) and next prime (446468385151).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 121420078 + ... + 121423754.

Almost surely, 2^446468385132 is an apocalyptic number.

446468385132 is a gapful number since it is divisible by the number (42) 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 446468385132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756037675008).

446468385132 is an abundant number, since it is smaller than the sum of its proper divisors (1065606964884).

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

446468385132 is a wasteful number, since it uses less digits than its factorization.

446468385132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3899 (or 3888 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 446468385132 in words is "four hundred forty-six billion, four hundred sixty-eight million, three hundred eighty-five thousand, one hundred thirty-two".