249300742159872 has 960 divisors, whose sum is σ = 869490244687680. Its totient is φ = 69865974005760.

The previous prime is 249300742159811. The next prime is 249300742159921. The reversal of 249300742159872 is 278951247003942.

249300742159872 is a `hidden beast` number, since 2 + 4 + 9 + 30 + 0 + 7 + 4 + 2 + 1 + 598 + 7 + 2 = 666.

249300742159872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2935912488 + ... + 2935997400.

It is an arithmetic number, because the mean of its divisors is an integer number (905719004883).

Almost surely, 2^{249300742159872} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249300742159872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434745122343840).

249300742159872 is an abundant number, since it is smaller than the sum of its proper divisors (620189502527808).

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

249300742159872 is a wasteful number, since it uses less digits than its factorization.

249300742159872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85032 (or 84979 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 249300742159872 in words is "two hundred forty-nine trillion, three hundred billion, seven hundred forty-two million, one hundred fifty-nine thousand, eight hundred seventy-two".