94144241664 has 504 divisors, whose sum is σ = 305583121116. Its totient is φ = 27898675200.

The previous prime is 94144241567. The next prime is 94144241683. The reversal of 94144241664 is 46614244149.

It is a happy number.

94144241664 is a `hidden beast` number, since 9 + 41 + 442 + 4 + 166 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 93782937600 + 361304064 = 306240^2 + 19008^2 .

It is a nude number because it is divisible by every one of its digits.

Its product of digits (663552) is a multiple of the sum of its prime factors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 544186282 + ... + 544186454.

Almost surely, 2^94144241664 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 94144241664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152791560558).

94144241664 is an abundant number, since it is smaller than the sum of its proper divisors (211438879452).

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

94144241664 is a wasteful number, since it uses less digits than its factorization.

94144241664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 250 counting only the distinct ones).

The product of its digits is 663552, while the sum is 45.

The spelling of 94144241664 in words is "ninety-four billion, one hundred forty-four million, two hundred forty-one thousand, six hundred sixty-four".