30113214364800 has 1728 divisors, whose sum is σ = 133061355180000. Its totient is φ = 6446978334720.

The previous prime is 30113214364789. The next prime is 30113214364817. The reversal of 30113214364800 is 846341231103.

30113214364800 is a `hidden beast` number, since 3 + 0 + 1 + 1 + 3 + 2 + 1 + 4 + 3 + 648 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 2386332891 + ... + 2386345509.

Almost surely, 2^{30113214364800} is an apocalyptic number.

30113214364800 is a gapful number since it is divisible by the number (30) 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 30113214364800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66530677590000).

30113214364800 is an abundant number, since it is smaller than the sum of its proper divisors (102948140815200).

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

30113214364800 is a wasteful number, since it uses less digits than its factorization.

30113214364800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12771 (or 12744 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 30113214364800 its reverse (846341231103), we get a palindrome (30959555595903).

The spelling of 30113214364800 in words is "thirty trillion, one hundred thirteen billion, two hundred fourteen million, three hundred sixty-four thousand, eight hundred".