248656100112 has 180 divisors, whose sum is σ = 814666423116. Its totient is φ = 70591772160.

The previous prime is 248656100071. The next prime is 248656100167. The reversal of 248656100112 is 211001656842.

It is a happy number.

248656100112 is a `hidden beast` number, since 2 + 4 + 86 + 561 + 0 + 0 + 1 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50527846656 + 198128253456 = 224784^2 + 445116^2 .

It is a super-2 number, since 2×248656100112² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 995562 + ... + 1220022.

Almost surely, 2^248656100112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248656100112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (407333211558).

248656100112 is an abundant number, since it is smaller than the sum of its proper divisors (566010323004).

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

248656100112 is a wasteful number, since it uses less digits than its factorization.

248656100112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224646 (or 224630 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

Adding to 248656100112 its reverse (211001656842), we get a palindrome (459657756954).

The spelling of 248656100112 in words is "two hundred forty-eight billion, six hundred fifty-six million, one hundred thousand, one hundred twelve".