8748346464 has 576 divisors, whose sum is σ = 31137704640. Its totient is φ = 2372198400.

The previous prime is 8748346463. The next prime is 8748346471. The reversal of 8748346464 is 4646438478.

8748346464 is a `hidden beast` number, since 87 + 48 + 3 + 464 + 64 = 666.

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

Its product of digits (12386304) is a multiple of the sum of its prime factors (252).

It is a self number, because there is not a number n which added to its sum of digits gives 8748346464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8748346463) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 55721874 + ... + 55722030.

It is an arithmetic number, because the mean of its divisors is an integer number (54058515).

Almost surely, 2^8748346464 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 8748346464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15568852320).

8748346464 is an abundant number, since it is smaller than the sum of its proper divisors (22389358176).

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

8748346464 is a wasteful number, since it uses less digits than its factorization.

8748346464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 227 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The square root of 8748346464 is about 93532.5957300448. The cubic root of 8748346464 is about 2060.5128380390.

The spelling of 8748346464 in words is "eight billion, seven hundred forty-eight million, three hundred forty-six thousand, four hundred sixty-four".