248516851968 has 216 divisors, whose sum is σ = 893343412416. Its totient is φ = 64549785600.

The previous prime is 248516851963. The next prime is 248516851993. The reversal of 248516851968 is 869158615842.

248516851968 is a `hidden beast` number, since 2 + 4 + 8 + 51 + 6 + 8 + 519 + 68 = 666.

248516851968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (248516851963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 523003 + ... + 877818.

Almost surely, 2^248516851968 is an apocalyptic number.

248516851968 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

248516851968 is an abundant number, since it is smaller than the sum of its proper divisors (644826560448).

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

248516851968 is a wasteful number, since it uses less digits than its factorization.

248516851968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400861 (or 1400844 counting only the distinct ones).

The product of its digits is 33177600, while the sum is 63.

The spelling of 248516851968 in words is "two hundred forty-eight billion, five hundred sixteen million, eight hundred fifty-one thousand, nine hundred sixty-eight".