249089206466880 has 2240 divisors, whose sum is σ = 1030883246604288. Its totient is φ = 56587442503680.

The previous prime is 249089206466879. The next prime is 249089206466887. The reversal of 249089206466880 is 88664602980942.

249089206466880 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 89 + 2 + 0 + 6 + 466 + 8 + 80 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 249089206466799 and 249089206466808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249089206466887) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 92016698487 + ... + 92016701193.

Almost surely, 2^{249089206466880} is an apocalyptic number.

249089206466880 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 249089206466880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515441623302144).

249089206466880 is an abundant number, since it is smaller than the sum of its proper divisors (781794040137408).

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

249089206466880 is a wasteful number, since it uses less digits than its factorization.

249089206466880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 573308928, while the sum is 72.

The spelling of 249089206466880 in words is "two hundred forty-nine trillion, eighty-nine billion, two hundred six million, four hundred sixty-six thousand, eight hundred eighty".