94144419072 has 288 divisors, whose sum is σ = 305433448320. Its totient is φ = 28366848000.

The previous prime is 94144419071. The next prime is 94144419077. The reversal of 94144419072 is 27091444149.

94144419072 is a `hidden beast` number, since 9 + 414 + 44 + 190 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94144419071) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13758372 + ... + 13765212.

Almost surely, 2^94144419072 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 94144419072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152716724160).

94144419072 is an abundant number, since it is smaller than the sum of its proper divisors (211289029248).

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

94144419072 is a wasteful number, since it uses less digits than its factorization.

94144419072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7058 (or 7038 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 94144419072 in words is "ninety-four billion, one hundred forty-four million, four hundred nineteen thousand, seventy-two".