5346312000 has 224 divisors, whose sum is σ = 17733166464. Its totient is φ = 1419264000.

The previous prime is 5346311959. The next prime is 5346312007. The reversal of 5346312000 is 2136435.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5346312007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7943664 + ... + 7944336.

Almost surely, 2^5346312000 is an apocalyptic number.

5346312000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5346312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8866583232).

5346312000 is an abundant number, since it is smaller than the sum of its proper divisors (12386854464).

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

5346312000 is a wasteful number, since it uses less digits than its factorization.

5346312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 5346312000 is about 73118.4791964384. The cubic root of 5346312000 is about 1748.5770201148.

Adding to 5346312000 its reverse (2136435), we get a palindrome (5348448435).

The spelling of 5346312000 in words is "five billion, three hundred forty-six million, three hundred twelve thousand".