249482081162160 has 1440 divisors, whose sum is σ = 1141799238028800. Its totient is φ = 49111837470720.

The previous prime is 249482081162123. The next prime is 249482081162161. The reversal of 249482081162160 is 61261180284942.

249482081162160 is a `hidden beast` number, since 2 + 4 + 9 + 4 + 8 + 2 + 0 + 8 + 1 + 1 + 621 + 6 + 0 = 666.

249482081162160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 249482081162097 and 249482081162106.

It is not an unprimeable number, because it can be changed into a prime (249482081162161) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 767736996 + ... + 768061884.

It is an arithmetic number, because the mean of its divisors is an integer number (792916137520).

Almost surely, 2^{249482081162160} is an apocalyptic number.

249482081162160 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 249482081162160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570899619014400).

249482081162160 is an abundant number, since it is smaller than the sum of its proper divisors (892317156866640).

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

249482081162160 is a wasteful number, since it uses less digits than its factorization.

249482081162160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 324963 (or 324936 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 249482081162160 in words is "two hundred forty-nine trillion, four hundred eighty-two billion, eighty-one million, one hundred sixty-two thousand, one hundred sixty".