94455414144 has 1152 divisors, whose sum is σ = 371790881280. Its totient is φ = 23290675200.

The previous prime is 94455414143. The next prime is 94455414241. The reversal of 94455414144 is 44141455449.

94455414144 is a `hidden beast` number, since 9 + 44 + 55 + 414 + 144 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×94455414144² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 94455414144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94455414143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 625532469 + ... + 625532619.

It is an arithmetic number, because the mean of its divisors is an integer number (322735140).

Almost surely, 2^94455414144 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 94455414144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185895440640).

94455414144 is an abundant number, since it is smaller than the sum of its proper divisors (277335467136).

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

94455414144 is a wasteful number, since it uses less digits than its factorization.

94455414144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 193 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 94455414144 in words is "ninety-four billion, four hundred fifty-five million, four hundred fourteen thousand, one hundred forty-four".