248877874918368 has 72 divisors (see below), whose sum is σ = 708350852683656. Its totient is φ = 82888446700800.

The previous prime is 248877874918297. The next prime is 248877874918369. The reversal of 248877874918368 is 863819478778842.

248877874918368 is a `hidden beast` number, since 2 + 4 + 8 + 8 + 7 + 7 + 87 + 491 + 8 + 36 + 8 = 666.

248877874918368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×248877874918368³ (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248877874918369) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368646223 + ... + 369320718.

It is an arithmetic number, because the mean of its divisors is an integer number (9838206287273).

Almost surely, 2^{248877874918368} is an apocalyptic number.

It is an amenable number.

248877874918368 is an abundant number, since it is smaller than the sum of its proper divisors (459472977765288).

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

248877874918368 is a wasteful number, since it uses less digits than its factorization.

248877874918368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737968128 (or 737968117 counting only the distinct ones).

The product of its digits is 58265174016, while the sum is 90.

The spelling of 248877874918368 in words is "two hundred forty-eight trillion, eight hundred seventy-seven billion, eight hundred seventy-four million, nine hundred eighteen thousand, three hundred sixty-eight".