249423931680 has 1152 divisors, whose sum is σ = 1041290256384. Its totient is φ = 49571020800.

The previous prime is 249423931663. The next prime is 249423931721. The reversal of 249423931680 is 86139324942.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1098783727 + ... + 1098783953.

It is an arithmetic number, because the mean of its divisors is an integer number (903897792).

Almost surely, 2^249423931680 is an apocalyptic number.

249423931680 is a gapful number since it is divisible by the number (20) 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 249423931680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520645128192).

249423931680 is an abundant number, since it is smaller than the sum of its proper divisors (791866324704).

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

249423931680 is a wasteful number, since it uses less digits than its factorization.

249423931680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 51.

The spelling of 249423931680 in words is "two hundred forty-nine billion, four hundred twenty-three million, nine hundred thirty-one thousand, six hundred eighty".