30805764984225 has 960 divisors, whose sum is σ = 74535101448192. Its totient is φ = 12210310656000.

The previous prime is 30805764984223. The next prime is 30805764984287. The reversal of 30805764984225 is 52248946750803.

30805764984225 is a `hidden beast` number, since 3 + 0 + 80 + 5 + 7 + 6 + 498 + 42 + 25 = 666.

It is not a de Polignac number, because 30805764984225 - 2¹ = 30805764984223 is a prime.

It is a super-2 number, since 2×30805764984225² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (30805764984223) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 61244065324 + ... + 61244065826.

Almost surely, 2^{30805764984225} is an apocalyptic number.

30805764984225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

30805764984225 is an abundant number, since it is smaller than the sum of its proper divisors (43729336463967).

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

30805764984225 is a wasteful number, since it uses less digits than its factorization.

30805764984225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 30805764984225 in words is "thirty trillion, eight hundred five billion, seven hundred sixty-four million, nine hundred eighty-four thousand, two hundred twenty-five".