30623071891968 has 120 divisors (see below), whose sum is σ = 88452187609500. Its totient is φ = 10199383056384.

The previous prime is 30623071891949. The next prime is 30623071891987. The reversal of 30623071891968 is 86919817032603.

30623071891968 is a `hidden beast` number, since 3 + 0 + 62 + 307 + 1 + 89 + 196 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (30623071891949) and next prime (30623071891987).

It can be written as a sum of positive squares in 2 ways, for example, as 19446406596864 + 11176665295104 = 4409808^2 + 3343152^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2959558 + ... + 8366906.

Almost surely, 2^{30623071891968} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30623071891968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44226093804750).

30623071891968 is an abundant number, since it is smaller than the sum of its proper divisors (57829115717532).

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

30623071891968 is a wasteful number, since it uses less digits than its factorization.

30623071891968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5408602 (or 5408583 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 30623071891968 in words is "thirty trillion, six hundred twenty-three billion, seventy-one million, eight hundred ninety-one thousand, nine hundred sixty-eight".