249163046002080 has 240 divisors, whose sum is σ = 1004957619240960. Its totient is φ = 56951553351168.

The previous prime is 249163046002069. The next prime is 249163046002111. The reversal of 249163046002080 is 80200640361942.

249163046002080 is a `hidden beast` number, since 2 + 4 + 9 + 1 + 6 + 30 + 4 + 600 + 2 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1373162400 + ... + 1373343839.

It is an arithmetic number, because the mean of its divisors is an integer number (4187323413504).

Almost surely, 2^{249163046002080} is an apocalyptic number.

249163046002080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

249163046002080 is an abundant number, since it is smaller than the sum of its proper divisors (755794573238880).

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

249163046002080 is a wasteful number, since it uses less digits than its factorization.

249163046002080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2746506273 (or 2746506256 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 249163046002080 in words is "two hundred forty-nine trillion, one hundred sixty-three billion, forty-six million, two thousand, eighty".