94446408672 has 864 divisors, whose sum is σ = 357629126400. Its totient is φ = 24157647360.

The previous prime is 94446408631. The next prime is 94446408673. The reversal of 94446408672 is 27680464449.

94446408672 is a `hidden beast` number, since 94 + 446 + 40 + 8 + 6 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×94446408672² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94446408673) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 527633479 + ... + 527633657.

It is an arithmetic number, because the mean of its divisors is an integer number (413922600).

Almost surely, 2^94446408672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94446408672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178814563200).

94446408672 is an abundant number, since it is smaller than the sum of its proper divisors (263182717728).

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

94446408672 is a wasteful number, since it uses less digits than its factorization.

94446408672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 94446408672 in words is "ninety-four billion, four hundred forty-six million, four hundred eight thousand, six hundred seventy-two".