5436459152208 has 480 divisors, whose sum is σ = 18215266148352. Its totient is φ = 1481179392000.

The previous prime is 5436459152203. The next prime is 5436459152233. The reversal of 5436459152208 is 8022519546345.

5436459152208 is a `hidden beast` number, since 5 + 4 + 3 + 64 + 59 + 1 + 522 + 0 + 8 = 666.

It is a super-2 number, since 2×5436459152208² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5436459152203) 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, 2041477885 + ... + 2041480547.

Almost surely, 2^{5436459152208} 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 5436459152208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9107633074176).

5436459152208 is an abundant number, since it is smaller than the sum of its proper divisors (12778806996144).

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

5436459152208 is a wasteful number, since it uses less digits than its factorization.

5436459152208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3823 (or 3814 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 5436459152208 in words is "five trillion, four hundred thirty-six billion, four hundred fifty-nine million, one hundred fifty-two thousand, two hundred eight".