248161791150 has 288 divisors, whose sum is σ = 856661107680. Its totient is φ = 52359229440.

The previous prime is 248161791103. The next prime is 248161791151. The reversal of 248161791150 is 51197161842.

248161791150 is a `hidden beast` number, since 2 + 481 + 6 + 17 + 9 + 1 + 150 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 248161791096 and 248161791105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248161791151) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 715662 + ... + 1004238.

It is an arithmetic number, because the mean of its divisors is an integer number (2974517735).

Almost surely, 2^248161791150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248161791150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428330553840).

248161791150 is an abundant number, since it is smaller than the sum of its proper divisors (608499316530).

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

248161791150 is a wasteful number, since it uses less digits than its factorization.

248161791150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288625 (or 288607 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 248161791150 in words is "two hundred forty-eight billion, one hundred sixty-one million, seven hundred ninety-one thousand, one hundred fifty".