4659668591616 has 1056 divisors, whose sum is σ = 15759570677760. Its totient is φ = 1367203774464.

The previous prime is 4659668591579. The next prime is 4659668591657. The reversal of 4659668591616 is 6161958669564.

4659668591616 is a `hidden beast` number, since 4 + 6 + 596 + 6 + 8 + 5 + 9 + 16 + 16 = 666.

It is a super-2 number, since 2×4659668591616² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4572785155 + ... + 4572786173.

Almost surely, 2^{4659668591616} is an apocalyptic number.

4659668591616 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4659668591616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7879785338880).

4659668591616 is an abundant number, since it is smaller than the sum of its proper divisors (11099902086144).

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

4659668591616 is a wasteful number, since it uses less digits than its factorization.

4659668591616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141 (or 1111 counting only the distinct ones).

The product of its digits is 503884800, while the sum is 72.

The spelling of 4659668591616 in words is "four trillion, six hundred fifty-nine billion, six hundred sixty-eight million, five hundred ninety-one thousand, six hundred sixteen".