150358112206848 has 1440 divisors, whose sum is σ = 582051747594240. Its totient is φ = 37563200962560.

The previous prime is 150358112206807. The next prime is 150358112206859. The reversal of 150358112206848 is 848602211853051.

150358112206848 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 581 + 12 + 2 + 0 + 6 + 8 + 48 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 150358112206794 and 150358112206803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18356498433 + ... + 18356506623.

It is an arithmetic number, because the mean of its divisors is an integer number (404202602496).

Almost surely, 2^{150358112206848} is an apocalyptic number.

150358112206848 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 150358112206848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291025873797120).

150358112206848 is an abundant number, since it is smaller than the sum of its proper divisors (431693635387392).

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

150358112206848 is an frugal number, since it uses more digits than its factorization.

150358112206848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8276 (or 8235 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 150358112206848 in words is "one hundred fifty trillion, three hundred fifty-eight billion, one hundred twelve million, two hundred six thousand, eight hundred forty-eight".