4616633595564 has 576 divisors, whose sum is σ = 13853423001600. Its totient is φ = 1285930598400.

The previous prime is 4616633595521. The next prime is 4616633595577. The reversal of 4616633595564 is 4655953366164.

4616633595564 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 6 + 33 + 595 + 5 + 6 + 4 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3138431349 + ... + 3138432819.

It is an arithmetic number, because the mean of its divisors is an integer number (24051081600).

Almost surely, 2^{4616633595564} 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 4616633595564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6926711500800).

4616633595564 is an abundant number, since it is smaller than the sum of its proper divisors (9236789406036).

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

4616633595564 is a wasteful number, since it uses less digits than its factorization.

4616633595564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1814 (or 1809 counting only the distinct ones).

The product of its digits is 209952000, while the sum is 63.

The spelling of 4616633595564 in words is "four trillion, six hundred sixteen billion, six hundred thirty-three million, five hundred ninety-five thousand, five hundred sixty-four".