249208628130 has 672 divisors, whose sum is σ = 883318530240. Its totient is φ = 49997969280.

The previous prime is 249208628083. The next prime is 249208628161. The reversal of 249208628130 is 31826802942.

249208628130 is a `hidden beast` number, since 2 + 4 + 9 + 2 + 0 + 8 + 628 + 13 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 8593400956 + ... + 8593400984.

Almost surely, 2^249208628130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249208628130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441659265120).

249208628130 is an abundant number, since it is smaller than the sum of its proper divisors (634109902110).

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

249208628130 is an frugal number, since it uses more digits than its factorization.

249208628130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 249208628130 in words is "two hundred forty-nine billion, two hundred eight million, six hundred twenty-eight thousand, one hundred thirty".