30541665312 has 144 divisors (see below), whose sum is σ = 87970192128. Its totient is φ = 10050324480.

The previous prime is 30541665283. The next prime is 30541665353. The reversal of 30541665312 is 21356614503.

30541665312 is a `hidden beast` number, since 3 + 0 + 541 + 66 + 53 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 8817693 + ... + 8821155.

It is an arithmetic number, because the mean of its divisors is an integer number (610904112).

Almost surely, 2^30541665312 is an apocalyptic number.

30541665312 is a gapful number since it is divisible by the number (32) 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 30541665312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43985096064).

30541665312 is an abundant number, since it is smaller than the sum of its proper divisors (57428526816).

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

30541665312 is a wasteful number, since it uses less digits than its factorization.

30541665312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3863 (or 3852 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 30541665312 in words is "thirty billion, five hundred forty-one million, six hundred sixty-five thousand, three hundred twelve".