4657140417564 has 192 divisors, whose sum is σ = 12853645056000. Its totient is φ = 1454043052800.

The previous prime is 4657140417541. The next prime is 4657140417571.

4657140417564 is a `hidden beast` number, since 4 + 6 + 5 + 7 + 1 + 404 + 175 + 64 = 666.

4657140417564 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 4657140417564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148998562 + ... + 149029814.

It is an arithmetic number, because the mean of its divisors is an integer number (66946068000).

Almost surely, 2^{4657140417564} 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 4657140417564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6426822528000).

4657140417564 is an abundant number, since it is smaller than the sum of its proper divisors (8196504638436).

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

4657140417564 is a wasteful number, since it uses less digits than its factorization.

4657140417564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32105 (or 32097 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 4657140417564 in words is "four trillion, six hundred fifty-seven billion, one hundred forty million, four hundred seventeen thousand, five hundred sixty-four".