249663185064 has 80 divisors (see below), whose sum is σ = 699780038100. Its totient is φ = 83162515968.

The previous prime is 249663185033. The next prime is 249663185099. The reversal of 249663185064 is 460581366942.

249663185064 is a `hidden beast` number, since 2 + 49 + 66 + 31 + 8 + 506 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 247150168164 + 2513016900 = 497142^2 + 50130^2 .

It is a super-2 number, since 2×249663185064² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 249663185064.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 791184 + ... + 1060800.

Almost surely, 2^249663185064 is an apocalyptic number.

249663185064 is a gapful number since it is divisible by the number (24) 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 249663185064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349890019050).

249663185064 is an abundant number, since it is smaller than the sum of its proper divisors (450116853036).

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

249663185064 is a wasteful number, since it uses less digits than its factorization.

249663185064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 271064 (or 271051 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 249663185064 in words is "two hundred forty-nine billion, six hundred sixty-three million, one hundred eighty-five thousand, sixty-four".