7139356416 has 144 divisors (see below), whose sum is σ = 21840957600. Its totient is φ = 2297659392.

The previous prime is 7139356337. The next prime is 7139356417. The reversal of 7139356416 is 6146539317.

It is a happy number.

7139356416 is a `hidden beast` number, since 71 + 3 + 9 + 3 + 564 + 16 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7139356417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182640 + ... + 218256.

Almost surely, 2^7139356416 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 7139356416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10920478800).

7139356416 is an abundant number, since it is smaller than the sum of its proper divisors (14701601184).

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

7139356416 is a wasteful number, since it uses less digits than its factorization.

7139356416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35671 (or 35651 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 7139356416 is about 84494.7123552711. The cubic root of 7139356416 is about 1925.5421122079.

The spelling of 7139356416 in words is "seven billion, one hundred thirty-nine million, three hundred fifty-six thousand, four hundred sixteen".