30111168419136 has 896 divisors, whose sum is σ = 105626806272000. Its totient is φ = 8229825773568.

The previous prime is 30111168419119. The next prime is 30111168419147. The reversal of 30111168419136 is 63191486111103.

30111168419136 is a `hidden beast` number, since 30 + 1 + 1 + 11 + 68 + 419 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30111168419091 and 30111168419100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21160342521 + ... + 21160343943.

Almost surely, 2^{30111168419136} is an apocalyptic number.

30111168419136 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 30111168419136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52813403136000).

30111168419136 is an abundant number, since it is smaller than the sum of its proper divisors (75515637852864).

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

30111168419136 is a wasteful number, since it uses less digits than its factorization.

30111168419136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996 (or 1980 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 30111168419136 in words is "thirty trillion, one hundred eleven billion, one hundred sixty-eight million, four hundred nineteen thousand, one hundred thirty-six".