249395825952 has 144 divisors (see below), whose sum is σ = 872885482560. Its totient is φ = 65774716416.

The previous prime is 249395825927. The next prime is 249395825953. The reversal of 249395825952 is 259528593942.

249395825952 is a `hidden beast` number, since 2 + 4 + 9 + 39 + 5 + 8 + 2 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a self number, because there is not a number n which added to its sum of digits gives 249395825952.

It is not an unprimeable number, because it can be changed into a prime (249395825953) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4731802 + ... + 4784217.

It is an arithmetic number, because the mean of its divisors is an integer number (6061704740).

Almost surely, 2^249395825952 is an apocalyptic number.

It is an amenable number.

249395825952 is an abundant number, since it is smaller than the sum of its proper divisors (623489656608).

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

249395825952 is a wasteful number, since it uses less digits than its factorization.

249395825952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9516055 (or 9516044 counting only the distinct ones).

The product of its digits is 69984000, while the sum is 63.

The spelling of 249395825952 in words is "two hundred forty-nine billion, three hundred ninety-five million, eight hundred twenty-five thousand, nine hundred fifty-two".