249038787004704 has 384 divisors, whose sum is σ = 743088562191360. Its totient is φ = 82140789070080.

The previous prime is 249038787004673. The next prime is 249038787004739. The reversal of 249038787004704 is 407400787830942.

249038787004704 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 3 + 87 + 87 + 0 + 0 + 470 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3181223547 + ... + 3181301829.

It is an arithmetic number, because the mean of its divisors is an integer number (1935126464040).

Almost surely, 2^{249038787004704} is an apocalyptic number.

249038787004704 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 249038787004704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371544281095680).

249038787004704 is an abundant number, since it is smaller than the sum of its proper divisors (494049775186656).

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

249038787004704 is an equidigital number, since it uses as much as digits as its factorization.

249038787004704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78792 (or 78766 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 249038787004704 in words is "two hundred forty-nine trillion, thirty-eight billion, seven hundred eighty-seven million, four thousand, seven hundred four".