20331300030984 has 384 divisors, whose sum is σ = 60401654782560. Its totient is φ = 6152050704384.

The previous prime is 20331300030973. The next prime is 20331300031019. The reversal of 20331300030984 is 48903000313302.

20331300030984 is a `hidden beast` number, since 203 + 31 + 300 + 0 + 30 + 98 + 4 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 17769411682884 + 2561888348100 = 4215378^2 + 1600590^2 .

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 95 ways as a sum of consecutive naturals, for example, 3249365584 + ... + 3249371840.

Almost surely, 2^{20331300030984} is an apocalyptic number.

20331300030984 is a gapful number since it is divisible by the number (24) 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 20331300030984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30200827391280).

20331300030984 is an abundant number, since it is smaller than the sum of its proper divisors (40070354751576).

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

20331300030984 is a wasteful number, since it uses less digits than its factorization.

20331300030984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6937 (or 6930 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 20331300030984 in words is "twenty trillion, three hundred thirty-one billion, three hundred million, thirty thousand, nine hundred eighty-four".