252383549687808 has 192 divisors, whose sum is σ = 838888504796160. Its totient is φ = 65554168627200.

The previous prime is 252383549687803. The next prime is 252383549687837. The reversal of 252383549687808 is 808786945383252.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×252383549687808³ (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (252383549687803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266267508 + ... + 267213683.

It is an arithmetic number, because the mean of its divisors is an integer number (4369210962480).

Almost surely, 2^{252383549687808} is an apocalyptic number.

252383549687808 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

252383549687808 is an abundant number, since it is smaller than the sum of its proper divisors (586504955108352).

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

252383549687808 is a wasteful number, since it uses less digits than its factorization.

252383549687808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533481234 (or 533481214 counting only the distinct ones).

The product of its (nonzero) digits is 5573836800, while the sum is 78.

The spelling of 252383549687808 in words is "two hundred fifty-two trillion, three hundred eighty-three billion, five hundred forty-nine million, six hundred eighty-seven thousand, eight hundred eight".