249175434816 has 672 divisors, whose sum is σ = 928228654080. Its totient is φ = 64385280000.

The previous prime is 249175434803. The next prime is 249175434839. The reversal of 249175434816 is 618434571942.

249175434816 is a `hidden beast` number, since 2 + 4 + 9 + 17 + 543 + 4 + 81 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 300573090 + ... + 300573918.

It is an arithmetic number, because the mean of its divisors is an integer number (1381292640).

Almost surely, 2^249175434816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249175434816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (464114327040).

249175434816 is an abundant number, since it is smaller than the sum of its proper divisors (679053219264).

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

249175434816 is a wasteful number, since it uses less digits than its factorization.

249175434816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1103 counting only the distinct ones).

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

The spelling of 249175434816 in words is "two hundred forty-nine billion, one hundred seventy-five million, four hundred thirty-four thousand, eight hundred sixteen".