7349094144 has 288 divisors, whose sum is σ = 24997629440. Its totient is φ = 2086207488.

The previous prime is 7349094097. The next prime is 7349094163. The reversal of 7349094144 is 4414909437.

7349094144 is a `hidden beast` number, since 73 + 490 + 94 + 1 + 4 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7349094144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9337719 + ... + 9338505.

Almost surely, 2^7349094144 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 7349094144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12498814720).

7349094144 is an abundant number, since it is smaller than the sum of its proper divisors (17648535296).

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

7349094144 is a wasteful number, since it uses less digits than its factorization.

7349094144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1012 (or 992 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 7349094144 is about 85726.8577751454. The cubic root of 7349094144 is about 1944.2164063309.

The spelling of 7349094144 in words is "seven billion, three hundred forty-nine million, ninety-four thousand, one hundred forty-four".