4567616552160 has 576 divisors, whose sum is σ = 16727334624000. Its totient is φ = 1132789432320.

The previous prime is 4567616552129. The next prime is 4567616552221. The reversal of 4567616552160 is 612556167654.

4567616552160 is a `hidden beast` number, since 4 + 5 + 6 + 7 + 616 + 5 + 5 + 2 + 16 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4567616552097 and 4567616552106.

It is a congruent number.

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, 135243756 + ... + 135277524.

It is an arithmetic number, because the mean of its divisors is an integer number (29040511500).

Almost surely, 2^{4567616552160} is an apocalyptic number.

4567616552160 is a gapful number since it is divisible by the number (40) 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 4567616552160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8363667312000).

4567616552160 is an abundant number, since it is smaller than the sum of its proper divisors (12159718071840).

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

4567616552160 is a wasteful number, since it uses less digits than its factorization.

4567616552160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33939 (or 33928 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 4567616552160 in words is "four trillion, five hundred sixty-seven billion, six hundred sixteen million, five hundred fifty-two thousand, one hundred sixty".