5461332213168 has 240 divisors, whose sum is σ = 16552978041600. Its totient is φ = 1670912280576.

The previous prime is 5461332213167. The next prime is 5461332213191. The reversal of 5461332213168 is 8613122331645.

5461332213168 is a `hidden beast` number, since 5 + 4 + 6 + 1 + 3 + 322 + 1 + 316 + 8 = 666.

It is a super-2 number, since 2×5461332213168² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5461332213167) 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, 884709730 + ... + 884715902.

It is an arithmetic number, because the mean of its divisors is an integer number (68970741840).

Almost surely, 2^{5461332213168} 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 5461332213168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8276489020800).

5461332213168 is an abundant number, since it is smaller than the sum of its proper divisors (11091645828432).

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

5461332213168 is a wasteful number, since it uses less digits than its factorization.

5461332213168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8796 (or 8787 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 5461332213168 in words is "five trillion, four hundred sixty-one billion, three hundred thirty-two million, two hundred thirteen thousand, one hundred sixty-eight".