4638390971616 has 96 divisors (see below), whose sum is σ = 13750421479200. Its totient is φ = 1520783907840.

The previous prime is 4638390971519. The next prime is 4638390971651. The reversal of 4638390971616 is 6161790938364.

4638390971616 is a `hidden beast` number, since 4 + 6 + 3 + 8 + 3 + 9 + 0 + 9 + 7 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 43951461 + ... + 44056868.

It is an arithmetic number, because the mean of its divisors is an integer number (143233557075).

Almost surely, 2^{4638390971616} is an apocalyptic number.

It is an amenable number.

4638390971616 is an abundant number, since it is smaller than the sum of its proper divisors (9112030507584).

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

4638390971616 is a wasteful number, since it uses less digits than its factorization.

4638390971616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88008409 (or 88008395 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 4638390971616 in words is "four trillion, six hundred thirty-eight billion, three hundred ninety million, nine hundred seventy-one thousand, six hundred sixteen".