248087351232 has 672 divisors, whose sum is σ = 866873145600. Its totient is φ = 69360592896.

The previous prime is 248087351231. The next prime is 248087351249. The reversal of 248087351232 is 232153780842.

248087351232 is a `hidden beast` number, since 24 + 8 + 0 + 87 + 3 + 512 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248087351231) 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 95 ways as a sum of consecutive naturals, for example, 1259326558 + ... + 1259326754.

It is an arithmetic number, because the mean of its divisors is an integer number (1289989800).

Almost surely, 2^248087351232 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 248087351232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433436572800).

248087351232 is an abundant number, since it is smaller than the sum of its proper divisors (618785794368).

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

248087351232 is a wasteful number, since it uses less digits than its factorization.

248087351232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 248087351232 in words is "two hundred forty-eight billion, eighty-seven million, three hundred fifty-one thousand, two hundred thirty-two".