306150040414152 has 384 divisors, whose sum is σ = 919993488261120. Its totient is φ = 91200859200000.

The previous prime is 306150040414117. The next prime is 306150040414159. The reversal of 306150040414152 is 251414040051603.

306150040414152 is a `hidden beast` number, since 3 + 0 + 6 + 1 + 50 + 0 + 40 + 414 + 152 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (306150040414159) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30716363073 + ... + 30716373039.

It is an arithmetic number, because the mean of its divisors is an integer number (2395816375680).

Almost surely, 2^{306150040414152} 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 306150040414152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459996744130560).

306150040414152 is an abundant number, since it is smaller than the sum of its proper divisors (613843447846968).

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

306150040414152 is a wasteful number, since it uses less digits than its factorization.

306150040414152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12785 (or 12778 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 306150040414152 its reverse (251414040051603), we get a palindrome (557564080465755).

The spelling of 306150040414152 in words is "three hundred six trillion, one hundred fifty billion, forty million, four hundred fourteen thousand, one hundred fifty-two".