249882288118848 has 672 divisors, whose sum is σ = 908816742362880. Its totient is φ = 63756066816000.

The previous prime is 249882288118847. The next prime is 249882288118889. The reversal of 249882288118848 is 848811882288942.

249882288118848 is a `hidden beast` number, since 2 + 49 + 8 + 82 + 288 + 1 + 188 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (249882288118847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2058803508 + ... + 2058924876.

Almost surely, 2^{249882288118848} is an apocalyptic number.

249882288118848 is a gapful number since it is divisible by the number (28) 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 249882288118848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454408371181440).

249882288118848 is an abundant number, since it is smaller than the sum of its proper divisors (658934454244032).

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

249882288118848 is a wasteful number, since it uses less digits than its factorization.

249882288118848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122227 (or 122214 counting only the distinct ones).

The product of its digits is 2415919104, while the sum is 81.

The spelling of 249882288118848 in words is "two hundred forty-nine trillion, eight hundred eighty-two billion, two hundred eighty-eight million, one hundred eighteen thousand, eight hundred forty-eight".