4653360633564 has 192 divisors, whose sum is σ = 13448871475200. Its totient is φ = 1382771865600.

The previous prime is 4653360633541. The next prime is 4653360633613.

It is a happy number.

4653360633564 is a `hidden beast` number, since 46 + 5 + 3 + 3 + 6 + 0 + 6 + 33 + 564 = 666.

4653360633564 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 4653360633564.

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 63 ways as a sum of consecutive naturals, for example, 243864504 + ... + 243883584.

It is an arithmetic number, because the mean of its divisors is an integer number (70046205600).

Almost surely, 2^{4653360633564} 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 4653360633564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6724435737600).

4653360633564 is an abundant number, since it is smaller than the sum of its proper divisors (8795510841636).

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

4653360633564 is a wasteful number, since it uses less digits than its factorization.

4653360633564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26121 (or 26113 counting only the distinct ones).

The product of its (nonzero) digits is 41990400, while the sum is 54.

The spelling of 4653360633564 in words is "four trillion, six hundred fifty-three billion, three hundred sixty million, six hundred thirty-three thousand, five hundred sixty-four".