5348164752 has 320 divisors, whose sum is σ = 18106777600. Its totient is φ = 1479928320.

The previous prime is 5348164739. The next prime is 5348164753. The reversal of 5348164752 is 2574618435.

5348164752 is a `hidden beast` number, since 534 + 8 + 1 + 64 + 7 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5348164698 and 5348164707.

It is not an unprimeable number, because it can be changed into a prime (5348164753) 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, 14572473 + ... + 14572839.

It is an arithmetic number, because the mean of its divisors is an integer number (56583680).

Almost surely, 2^5348164752 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 5348164752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9053388800).

5348164752 is an abundant number, since it is smaller than the sum of its proper divisors (12758612848).

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

5348164752 is a wasteful number, since it uses less digits than its factorization.

5348164752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 519 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 5348164752 is about 73131.1476185079. The cubic root of 5348164752 is about 1748.7789852208.

The spelling of 5348164752 in words is "five billion, three hundred forty-eight million, one hundred sixty-four thousand, seven hundred fifty-two".