7133813646399 has 288 divisors, whose sum is σ = 13122385274880. Its totient is φ = 3785139072000.

The previous prime is 7133813646389. The next prime is 7133813646607. The reversal of 7133813646399 is 9936463183317.

7133813646399 is a `hidden beast` number, since 7 + 1 + 3 + 3 + 81 + 3 + 6 + 463 + 99 = 666.

It is a Cunningham number, because it is equal to 2670920²-1.

It is not a de Polignac number, because 7133813646399 - 2⁵ = 7133813646367 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7133813646389) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3656489874 + ... + 3656491824.

It is an arithmetic number, because the mean of its divisors is an integer number (45563837760).

Almost surely, 2^{7133813646399} is an apocalyptic number.

7133813646399 is a deficient number, since it is larger than the sum of its proper divisors (5988571628481).

7133813646399 is a wasteful number, since it uses less digits than its factorization.

7133813646399 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2108 (or 2042 counting only the distinct ones).

The product of its digits is 52907904, while the sum is 63.

The spelling of 7133813646399 in words is "seven trillion, one hundred thirty-three billion, eight hundred thirteen million, six hundred forty-six thousand, three hundred ninety-nine".