4653150513564 has 192 divisors, whose sum is σ = 13279931707392. Its totient is φ = 1237800960000.

The previous prime is 4653150513541. The next prime is 4653150513569.

4653150513564 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4653150513569) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173204397 + ... + 173231259.

It is an arithmetic number, because the mean of its divisors is an integer number (69166310976).

Almost surely, 2^{4653150513564} 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 4653150513564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6639965853696).

4653150513564 is an abundant number, since it is smaller than the sum of its proper divisors (8626781193828).

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

4653150513564 is a wasteful number, since it uses less digits than its factorization.

4653150513564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28196 (or 28194 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 4653150513564 in words is "four trillion, six hundred fifty-three billion, one hundred fifty million, five hundred thirteen thousand, five hundred sixty-four".