30675494891184 has 960 divisors, whose sum is σ = 105032421494784. Its totient is φ = 7624286208000.

The previous prime is 30675494891137. The next prime is 30675494891221. The reversal of 30675494891184 is 48119849457603.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1631405527 + ... + 1631424329.

Almost surely, 2^{30675494891184} is an apocalyptic number.

30675494891184 is a gapful number since it is divisible by the number (34) 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 30675494891184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52516210747392).

30675494891184 is an abundant number, since it is smaller than the sum of its proper divisors (74356926603600).

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

30675494891184 is a wasteful number, since it uses less digits than its factorization.

30675494891184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18938 (or 18921 counting only the distinct ones).

The product of its (nonzero) digits is 209018880, while the sum is 69.

The spelling of 30675494891184 in words is "thirty trillion, six hundred seventy-five billion, four hundred ninety-four million, eight hundred ninety-one thousand, one hundred eighty-four".