150326047641600 has 702 divisors, whose sum is σ = 571972366475510. Its totient is φ = 37728823541760.

The previous prime is 150326047641599. The next prime is 150326047641661. The reversal of 150326047641600 is 6146740623051.

150326047641600 is a `hidden beast` number, since 1 + 5 + 0 + 32 + 6 + 0 + 4 + 7 + 6 + 4 + 1 + 600 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 329788329984 + 149996259311616 = 574272^2 + 12247296^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 266060196 + ... + 266624604.

Almost surely, 2^{150326047641600} is an apocalyptic number.

150326047641600 is a gapful number since it is divisible by the number (10) 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 150326047641600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285986183237755).

150326047641600 is an abundant number, since it is smaller than the sum of its proper divisors (421646318833910).

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

150326047641600 is a wasteful number, since it uses less digits than its factorization.

150326047641600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 564483 (or 564436 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 150326047641600 in words is "one hundred fifty trillion, three hundred twenty-six billion, forty-seven million, six hundred forty-one thousand, six hundred".