248068508728032 has 72 divisors (see below), whose sum is σ = 746941575927456. Its totient is φ = 77825414501376.

The previous prime is 248068508728021. The next prime is 248068508728109. The reversal of 248068508728032 is 230827805860842.

248068508728032 is a `hidden beast` number, since 2 + 48 + 0 + 6 + 8 + 508 + 7 + 2 + 80 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25333788888 + ... + 25333798679.

It is an arithmetic number, because the mean of its divisors is an integer number (10374188554548).

Almost surely, 2^{248068508728032} is an apocalyptic number.

It is an amenable number.

248068508728032 is an abundant number, since it is smaller than the sum of its proper divisors (498873067199424).

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

248068508728032 is a wasteful number, since it uses less digits than its factorization.

248068508728032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50667587600 (or 50667587589 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 248068508728032 in words is "two hundred forty-eight trillion, sixty-eight billion, five hundred eight million, seven hundred twenty-eight thousand, thirty-two".