150638600448 has 1296 divisors, whose sum is σ = 586594478400. Its totient is φ = 38375866368.

The previous prime is 150638600443. The next prime is 150638600491. The reversal of 150638600448 is 844006836051.

150638600448 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 38 + 600 + 4 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is not an unprimeable number, because it can be changed into a prime (150638600443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7928347383 + ... + 7928347401.

Almost surely, 2^150638600448 is an apocalyptic number.

150638600448 is a gapful number since it is divisible by the number (18) 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 150638600448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293297239200).

150638600448 is an abundant number, since it is smaller than the sum of its proper divisors (435955877952).

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

150638600448 is an frugal number, since it uses more digits than its factorization.

150638600448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 150638600448 in words is "one hundred fifty billion, six hundred thirty-eight million, six hundred thousand, four hundred forty-eight".