30345966489600 has 780 divisors, whose sum is σ = 112577915859156. Its totient is φ = 8080081551360.

The previous prime is 30345966489599. The next prime is 30345966489613. The reversal of 30345966489600 is 698466954303.

It is a happy number.

30345966489600 is a `hidden beast` number, since 3 + 0 + 3 + 4 + 5 + 96 + 6 + 489 + 60 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 9175955705856 + 21170010783744 = 3029184^2 + 4601088^2 .

It is a super-2 number, since 2×30345966489600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6411568834 + ... + 6411573566.

Almost surely, 2^{30345966489600} is an apocalyptic number.

30345966489600 is a gapful number since it is divisible by the number (30) 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 30345966489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56288957929578).

30345966489600 is an abundant number, since it is smaller than the sum of its proper divisors (82231949369556).

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

30345966489600 is an equidigital number, since it uses as much as digits as its factorization.

30345966489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5552 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 63.

The spelling of 30345966489600 in words is "thirty trillion, three hundred forty-five billion, nine hundred sixty-six million, four hundred eighty-nine thousand, six hundred".