30141600331968 has 336 divisors, whose sum is σ = 93897696522240. Its totient is φ = 9209247436800.

The previous prime is 30141600331907. The next prime is 30141600331991. The reversal of 30141600331968 is 86913300614103.

It is a happy number.

30141600331968 is a `hidden beast` number, since 3 + 0 + 1 + 4 + 1 + 600 + 3 + 31 + 9 + 6 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2158051321 + ... + 2158065287.

Almost surely, 2^{30141600331968} is an apocalyptic number.

30141600331968 is a gapful number since it is divisible by the number (38) 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 30141600331968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46948848261120).

30141600331968 is an abundant number, since it is smaller than the sum of its proper divisors (63756096190272).

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

30141600331968 is a wasteful number, since it uses less digits than its factorization.

30141600331968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20396 (or 20383 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 30141600331968 in words is "thirty trillion, one hundred forty-one billion, six hundred million, three hundred thirty-one thousand, nine hundred sixty-eight".