248228997120 has 480 divisors, whose sum is σ = 958212014760. Its totient is φ = 61099868160.

The previous prime is 248228997113. The next prime is 248228997127. The reversal of 248228997120 is 21799822842.

248228997120 is a `hidden beast` number, since 2 + 482 + 2 + 8 + 99 + 71 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (248228997113) and next prime (248228997127).

It can be written as a sum of positive squares in 4 ways, for example, as 103488316416 + 144740680704 = 321696^2 + 380448^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×248228997120² (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (248228997127) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 10771210 + ... + 10794230.

Almost surely, 2^248228997120 is an apocalyptic number.

248228997120 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 248228997120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (479106007380).

248228997120 is an abundant number, since it is smaller than the sum of its proper divisors (709983017640).

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

248228997120 is a wasteful number, since it uses less digits than its factorization.

248228997120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23073 (or 23044 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 248228997120 in words is "two hundred forty-eight billion, two hundred twenty-eight million, nine hundred ninety-seven thousand, one hundred twenty".