30886513884096 has 336 divisors, whose sum is σ = 94041711291360. Its totient is φ = 8944475504640.

The previous prime is 30886513884077. The next prime is 30886513884097. The reversal of 30886513884096 is 69048831568803.

It is a happy number.

It is a super-2 number, since 2×30886513884096² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 30886513884096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30886513884097) 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, 121780456 + ... + 122033816.

It is an arithmetic number, because the mean of its divisors is an integer number (279886045510).

Almost surely, 2^{30886513884096} 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 30886513884096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47020855645680).

30886513884096 is an abundant number, since it is smaller than the sum of its proper divisors (63155197407264).

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

30886513884096 is a wasteful number, since it uses less digits than its factorization.

30886513884096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253449 (or 253396 counting only the distinct ones).

The product of its (nonzero) digits is 238878720, while the sum is 69.

The spelling of 30886513884096 in words is "thirty trillion, eight hundred eighty-six billion, five hundred thirteen million, eight hundred eighty-four thousand, ninety-six".