248847621120 has 1056 divisors, whose sum is σ = 1089763191360. Its totient is φ = 53508833280.

The previous prime is 248847621109. The next prime is 248847621157. The reversal of 248847621120 is 21126748842.

248847621120 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 4 + 7 + 621 + 12 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115152840 + ... + 115155000.

Almost surely, 2^248847621120 is an apocalyptic number.

248847621120 is a gapful number since it is divisible by the number (20) 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 248847621120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (544881595680).

248847621120 is an abundant number, since it is smaller than the sum of its proper divisors (840915570240).

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

248847621120 is a wasteful number, since it uses less digits than its factorization.

248847621120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2226 (or 2195 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 248847621120 in words is "two hundred forty-eight billion, eight hundred forty-seven million, six hundred twenty-one thousand, one hundred twenty".