30168533800416 has 192 divisors, whose sum is σ = 88767660554496. Its totient is φ = 8892321177600.

The previous prime is 30168533800397. The next prime is 30168533800453. The reversal of 30168533800416 is 61400833586103.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 9564930 + ... + 12321726.

It is an arithmetic number, because the mean of its divisors is an integer number (462331565388).

Almost surely, 2^{30168533800416} 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 30168533800416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44383830277248).

30168533800416 is an abundant number, since it is smaller than the sum of its proper divisors (58599126754080).

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

30168533800416 is a wasteful number, since it uses less digits than its factorization.

30168533800416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2757105 (or 2757097 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 48.

The spelling of 30168533800416 in words is "thirty trillion, one hundred sixty-eight billion, five hundred thirty-three million, eight hundred thousand, four hundred sixteen".