150086446394112 has 144 divisors (see below), whose sum is σ = 444002195196000. Its totient is φ = 50009633980416.

The previous prime is 150086446394051. The next prime is 150086446394113. The reversal of 150086446394112 is 211493644680051.

150086446394112 is a `hidden beast` number, since 1 + 5 + 0 + 0 + 8 + 64 + 463 + 9 + 4 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (150086446394113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13872064 + ... + 22194752.

It is an arithmetic number, because the mean of its divisors is an integer number (3083348577750).

Almost surely, 2^{150086446394112} is an apocalyptic number.

150086446394112 is a gapful number since it is divisible by the number (12) 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 150086446394112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222001097598000).

150086446394112 is an abundant number, since it is smaller than the sum of its proper divisors (293915748801888).

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

150086446394112 is an equidigital number, since it uses as much as digits as its factorization.

150086446394112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8325323 (or 8325303 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 150086446394112 in words is "one hundred fifty trillion, eighty-six billion, four hundred forty-six million, three hundred ninety-four thousand, one hundred twelve".