94914144 has 144 divisors (see below), whose sum is σ = 294722064. Its totient is φ = 28800000.

The previous prime is 94914133. The next prime is 94914151. The reversal of 94914144 is 44141949.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is a junction number, because it is equal to n+sod(n) for n = 94914099 and 94914108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 378019 + ... + 378269.

It is an arithmetic number, because the mean of its divisors is an integer number (2046681).

Almost surely, 2^94914144 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 94914144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147361032).

94914144 is an abundant number, since it is smaller than the sum of its proper divisors (199807920).

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

94914144 is a wasteful number, since it uses less digits than its factorization.

94914144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 370 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 94914144 is about 9742.3890293911. The cubic root of 94914144 is about 456.1527650674.

The spelling of 94914144 in words is "ninety-four million, nine hundred fourteen thousand, one hundred forty-four".