249163251742080 has 1280 divisors, whose sum is σ = 985488755328000. Its totient is φ = 59603740213248.

The previous prime is 249163251742051. The next prime is 249163251742121. The reversal of 249163251742080 is 80247152361942.

It is a happy number.

249163251742080 is a `hidden beast` number, since 2 + 4 + 9 + 1 + 6 + 3 + 2 + 517 + 42 + 0 + 80 = 666.

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

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 5766711837 + ... + 5766755043.

It is an arithmetic number, because the mean of its divisors is an integer number (769913090100).

It is a 1-persistent number, because it is pandigital, but 2⋅249163251742080 = 498326503484160 is not.

Almost surely, 2^{249163251742080} is an apocalyptic number.

249163251742080 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 249163251742080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492744377664000).

249163251742080 is an abundant number, since it is smaller than the sum of its proper divisors (736325503585920).

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

249163251742080 is a wasteful number, since it uses less digits than its factorization.

249163251742080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43493 (or 43472 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 249163251742080 in words is "two hundred forty-nine trillion, one hundred sixty-three billion, two hundred fifty-one million, seven hundred forty-two thousand, eighty".