30868205331264 has 448 divisors, whose sum is σ = 108554876006400. Its totient is φ = 7521907802112.

The previous prime is 30868205331233. The next prime is 30868205331269. The reversal of 30868205331264 is 46213350286803.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×30868205331264² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30868205331269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8438782 + ... + 11530370.

Almost surely, 2^{30868205331264} is an apocalyptic number.

30868205331264 is a gapful number since it is divisible by the number (34) 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 30868205331264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54277438003200).

30868205331264 is an abundant number, since it is smaller than the sum of its proper divisors (77686670675136).

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

30868205331264 is a wasteful number, since it uses less digits than its factorization.

30868205331264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3091670 (or 3091660 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 51.

The spelling of 30868205331264 in words is "thirty trillion, eight hundred sixty-eight billion, two hundred five million, three hundred thirty-one thousand, two hundred sixty-four".