446069086320 has 320 divisors, whose sum is σ = 1625520960000. Its totient is φ = 99760926720.

The previous prime is 446069086313. The next prime is 446069086339. The reversal of 446069086320 is 23680960644.

446069086320 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×446069086320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 446069086320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 87479131 + ... + 87484229.

It is an arithmetic number, because the mean of its divisors is an integer number (5079753000).

Almost surely, 2^446069086320 is an apocalyptic number.

446069086320 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 446069086320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812760480000).

446069086320 is an abundant number, since it is smaller than the sum of its proper divisors (1179451873680).

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

446069086320 is a wasteful number, since it uses less digits than its factorization.

446069086320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7688 (or 7682 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 446069086320 in words is "four hundred forty-six billion, sixty-nine million, eighty-six thousand, three hundred twenty".