30300646146048 has 552 divisors, whose sum is σ = 93435660208800. Its totient is φ = 9434768080896.

The previous prime is 30300646145969. The next prime is 30300646146061. The reversal of 30300646146048 is 84064164600303.

It is a happy number.

30300646146048 is a `hidden beast` number, since 3 + 0 + 30 + 0 + 6 + 4 + 6 + 1 + 4 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 30300646145994 and 30300646146012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59529756418 + ... + 59529756926.

Almost surely, 2^{30300646146048} is an apocalyptic number.

30300646146048 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 30300646146048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46717830104400).

30300646146048 is an abundant number, since it is smaller than the sum of its proper divisors (63135014062752).

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

30300646146048 is an frugal number, since it uses more digits than its factorization.

30300646146048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 30300646146048 in words is "thirty trillion, three hundred billion, six hundred forty-six million, one hundred forty-six thousand, forty-eight".