5336867948544 has 480 divisors, whose sum is σ = 17527679769600. Its totient is φ = 1604428922880.

The previous prime is 5336867948537. The next prime is 5336867948549. The reversal of 5336867948544 is 4458497686335.

It is a happy number.

5336867948544 is a `hidden beast` number, since 5 + 3 + 3 + 6 + 8 + 6 + 79 + 4 + 8 + 544 = 666.

It is a super-3 number, since 3×5336867948544³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (5336867948549) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 231734022 + ... + 231757050.

It is an arithmetic number, because the mean of its divisors is an integer number (36515999520).

Almost surely, 2^{5336867948544} is an apocalyptic number.

5336867948544 is a gapful number since it is divisible by the number (54) 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 5336867948544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8763839884800).

5336867948544 is an abundant number, since it is smaller than the sum of its proper divisors (12190811821056).

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

5336867948544 is a wasteful number, since it uses less digits than its factorization.

5336867948544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23201 (or 23172 counting only the distinct ones).

The product of its digits is 2090188800, while the sum is 72.

The spelling of 5336867948544 in words is "five trillion, three hundred thirty-six billion, eight hundred sixty-seven million, nine hundred forty-eight thousand, five hundred forty-four".