30623364242000 has 160 divisors (see below), whose sum is σ = 74973166972704. Its totient is φ = 12096731136000.

The previous prime is 30623364241949. The next prime is 30623364242017. The reversal of 30623364242000 is 24246332603.

It can be written as a sum of positive squares in 16 ways, for example, as 21826350609424 + 8797013632576 = 4671868^2 + 2965976^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89262794 + ... + 89605206.

Almost surely, 2^{30623364242000} 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 30623364242000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37486583486352).

30623364242000 is an abundant number, since it is smaller than the sum of its proper divisors (44349802730704).

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

30623364242000 is a wasteful number, since it uses less digits than its factorization.

30623364242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342994 (or 342978 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

The spelling of 30623364242000 in words is "thirty trillion, six hundred twenty-three billion, three hundred sixty-four million, two hundred forty-two thousand".