5335162181208 has 320 divisors, whose sum is σ = 15746547960000. Its totient is φ = 1684399546368.

The previous prime is 5335162181207. The next prime is 5335162181341. The reversal of 5335162181208 is 8021812615335.

5335162181208 is a `hidden beast` number, since 5 + 3 + 3 + 5 + 1 + 621 + 8 + 12 + 0 + 8 = 666.

It is a Cunningham number, because it is equal to 2309797²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5335162181207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 748370988 + ... + 748378116.

It is an arithmetic number, because the mean of its divisors is an integer number (49207962375).

Almost surely, 2^{5335162181208} 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 5335162181208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7873273980000).

5335162181208 is an abundant number, since it is smaller than the sum of its proper divisors (10411385778792).

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

5335162181208 is a wasteful number, since it uses less digits than its factorization.

5335162181208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7656 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 5335162181208 in words is "five trillion, three hundred thirty-five billion, one hundred sixty-two million, one hundred eighty-one thousand, two hundred eight".