30213899606016 has 1152 divisors, whose sum is σ = 105707640729600. Its totient is φ = 8131608576000.

The previous prime is 30213899605997. The next prime is 30213899606041. The reversal of 30213899606016 is 61060699831203.

30213899606016 is a `hidden beast` number, since 3 + 0 + 2 + 13 + 8 + 9 + 9 + 606 + 0 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 49775781585 + ... + 49775782191.

It is an arithmetic number, because the mean of its divisors is an integer number (91760104800).

Almost surely, 2^{30213899606016} is an apocalyptic number.

30213899606016 is a gapful number since it is divisible by the number (36) 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 30213899606016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52853820364800).

30213899606016 is an abundant number, since it is smaller than the sum of its proper divisors (75493741123584).

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

30213899606016 is a wasteful number, since it uses less digits than its factorization.

30213899606016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 975 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 30213899606016 in words is "thirty trillion, two hundred thirteen billion, eight hundred ninety-nine million, six hundred six thousand, sixteen".