5336345952 has 288 divisors, whose sum is σ = 18098196480. Its totient is φ = 1459399680.

The previous prime is 5336345923. The next prime is 5336345953. The reversal of 5336345952 is 2595436335.

It is a happy number.

5336345952 is a `hidden beast` number, since 5 + 3 + 3 + 634 + 5 + 9 + 5 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 5336345898 and 5336345907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5336345953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6436674 + ... + 6437502.

It is an arithmetic number, because the mean of its divisors is an integer number (62840960).

Almost surely, 2^5336345952 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 5336345952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9049098240).

5336345952 is an abundant number, since it is smaller than the sum of its proper divisors (12761850528).

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

5336345952 is a wasteful number, since it uses less digits than its factorization.

5336345952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 975 counting only the distinct ones).

The product of its digits is 1458000, while the sum is 45.

The square root of 5336345952 is about 73050.2974121256. The cubic root of 5336345952 is about 1747.4898381525.

The spelling of 5336345952 in words is "five billion, three hundred thirty-six million, three hundred forty-five thousand, nine hundred fifty-two".