30214207458688 has 256 divisors, whose sum is σ = 70032233594880. Its totient is φ = 12849484032000.

The previous prime is 30214207458623. The next prime is 30214207458697. The reversal of 30214207458688 is 88685470241203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 291954793 + ... + 292058263.

It is an arithmetic number, because the mean of its divisors is an integer number (273563412480).

Almost surely, 2^{30214207458688} 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 30214207458688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35016116797440).

30214207458688 is an abundant number, since it is smaller than the sum of its proper divisors (39818026136192).

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

30214207458688 is a wasteful number, since it uses less digits than its factorization.

30214207458688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103717 (or 103705 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 58.

The spelling of 30214207458688 in words is "thirty trillion, two hundred fourteen billion, two hundred seven million, four hundred fifty-eight thousand, six hundred eighty-eight".