4656164735100 has 144 divisors (see below), whose sum is σ = 13620001264128. Its totient is φ = 1228005672960.

The previous prime is 4656164735087. The next prime is 4656164735137. The reversal of 4656164735100 is 15374616564.

It is a self number, because there is not a number n which added to its sum of digits gives 4656164735100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43217899 + ... + 43325501.

It is an arithmetic number, because the mean of its divisors is an integer number (94583342112).

Almost surely, 2^{4656164735100} 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 4656164735100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6810000632064).

4656164735100 is an abundant number, since it is smaller than the sum of its proper divisors (8963836529028).

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

4656164735100 is a wasteful number, since it uses less digits than its factorization.

4656164735100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109204 (or 109197 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 4656164735100 in words is "four trillion, six hundred fifty-six billion, one hundred sixty-four million, seven hundred thirty-five thousand, one hundred".