249340998816 has 1920 divisors, whose sum is σ = 1032727449600. Its totient is φ = 57151733760.

The previous prime is 249340998787. The next prime is 249340998821. The reversal of 249340998816 is 618899043942.

249340998816 is a `hidden beast` number, since 2 + 493 + 40 + 9 + 98 + 8 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 4226118595 + ... + 4226118653.

It is an arithmetic number, because the mean of its divisors is an integer number (537878880).

Almost surely, 2^249340998816 is an apocalyptic number.

249340998816 is a gapful number since it is divisible by the number (26) 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 249340998816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516363724800).

249340998816 is an abundant number, since it is smaller than the sum of its proper divisors (783386450784).

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

249340998816 is a wasteful number, since it uses less digits than its factorization.

249340998816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 63.

The spelling of 249340998816 in words is "two hundred forty-nine billion, three hundred forty million, nine hundred ninety-eight thousand, eight hundred sixteen".