249050080950048 has 240 divisors, whose sum is σ = 838411633471104. Its totient is φ = 71044393835520.

The previous prime is 249050080950037. The next prime is 249050080950091. The reversal of 249050080950048 is 840059080050942.

It is a happy number.

249050080950048 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 50 + 0 + 80 + 9 + 500 + 4 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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 = 249050080949976 and 249050080950003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 572236 + ... + 22325492.

Almost surely, 2^{249050080950048} is an apocalyptic number.

249050080950048 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 249050080950048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419205816735552).

249050080950048 is an abundant number, since it is smaller than the sum of its proper divisors (589361552521056).

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

249050080950048 is a wasteful number, since it uses less digits than its factorization.

249050080950048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21753917 (or 21753900 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 249050080950048 in words is "two hundred forty-nine trillion, fifty billion, eighty million, nine hundred fifty thousand, forty-eight".