249342271488 has 210 divisors, whose sum is σ = 746120205369. Its totient is φ = 82978504704.

The previous prime is 249342271483. The next prime is 249342271489. The reversal of 249342271488 is 884172243942.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

249342271488 is a `hidden beast` number, since 2 + 4 + 93 + 4 + 2 + 2 + 71 + 488 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 138884419584 + 110457851904 = 372672^2 + 332352^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=353088.

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

It is not an unprimeable number, because it can be changed into a prime (249342271483) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 406757070 + ... + 406757682.

Almost surely, 2^249342271488 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 249342271488

249342271488 is an abundant number, since it is smaller than the sum of its proper divisors (496777933881).

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

249342271488 is an frugal number, since it uses more digits than its factorization.

249342271488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 618 counting only the distinct ones).

The product of its digits is 6193152, while the sum is 54.

The spelling of 249342271488 in words is "two hundred forty-nine billion, three hundred forty-two million, two hundred seventy-one thousand, four hundred eighty-eight".