150531412326912 has 480 divisors, whose sum is σ = 457872562811664. Its totient is φ = 47546420428800.

The previous prime is 150531412326901. The next prime is 150531412326941. The reversal of 150531412326912 is 219623214135051.

150531412326912 is a `hidden beast` number, since 1 + 5 + 0 + 5 + 314 + 1 + 2 + 326 + 9 + 1 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 136983241472256 + 13548170854656 = 11703984^2 + 3680784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4033405212 + ... + 4033442532.

Almost surely, 2^{150531412326912} is an apocalyptic number.

150531412326912 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 150531412326912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228936281405832).

150531412326912 is an abundant number, since it is smaller than the sum of its proper divisors (307341150484752).

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

150531412326912 is a wasteful number, since it uses less digits than its factorization.

150531412326912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38000 (or 37981 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 150531412326912 in words is "one hundred fifty trillion, five hundred thirty-one billion, four hundred twelve million, three hundred twenty-six thousand, nine hundred twelve".