30149362069200 has 960 divisors, whose sum is σ = 123087641529600. Its totient is φ = 6941168640000.

The previous prime is 30149362069181. The next prime is 30149362069223. The reversal of 30149362069200 is 296026394103.

30149362069200 is a `hidden beast` number, since 3 + 0 + 14 + 9 + 3 + 620 + 6 + 9 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 210085470 + ... + 210228930.

It is an arithmetic number, because the mean of its divisors is an integer number (128216293260).

Almost surely, 2^{30149362069200} is an apocalyptic number.

30149362069200 is a gapful number since it is divisible by the number (30) 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 30149362069200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61543820764800).

30149362069200 is an abundant number, since it is smaller than the sum of its proper divisors (92938279460400).

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

30149362069200 is a wasteful number, since it uses less digits than its factorization.

30149362069200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143589 (or 143572 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The spelling of 30149362069200 in words is "thirty trillion, one hundred forty-nine billion, three hundred sixty-two million, sixty-nine thousand, two hundred".