4748401416564 has 384 divisors, whose sum is σ = 13867650908160. Its totient is φ = 1395201024000.

The previous prime is 4748401416529. The next prime is 4748401416593. The reversal of 4748401416564 is 4656141048474.

4748401416564 is a `hidden beast` number, since 4 + 7 + 484 + 0 + 1 + 41 + 65 + 64 = 666.

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 4748401416564.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1066814539 + ... + 1066818989.

It is an arithmetic number, because the mean of its divisors is an integer number (36113674240).

Almost surely, 2^{4748401416564} 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 4748401416564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933825454080).

4748401416564 is an abundant number, since it is smaller than the sum of its proper divisors (9119249491596).

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

4748401416564 is a wasteful number, since it uses less digits than its factorization.

4748401416564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4828 (or 4820 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 4748401416564 in words is "four trillion, seven hundred forty-eight billion, four hundred one million, four hundred sixteen thousand, five hundred sixty-four".