252450249984 has 54 divisors (see below), whose sum is σ = 727876313346. Its totient is φ = 84150082560.

The previous prime is 252450249983. The next prime is 252450250037. The reversal of 252450249984 is 489942054252.

252450249984 is a `hidden beast` number, since 2 + 5 + 2 + 4 + 502 + 49 + 98 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 247335139584 + 5115110400 = 497328^2 + 71520^2 .

It is a super-2 number, since 2×252450249984² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 252450249984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252450249983) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 54782907 + ... + 54787514.

Almost surely, 2^252450249984 is an apocalyptic number.

252450249984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

252450249984 is an abundant number, since it is smaller than the sum of its proper divisors (475426063362).

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

252450249984 is a wasteful number, since it uses less digits than its factorization.

252450249984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109570443 (or 109570426 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 252450249984 in words is "two hundred fifty-two billion, four hundred fifty million, two hundred forty-nine thousand, nine hundred eighty-four".