248952820896 has 120 divisors (see below), whose sum is σ = 788483693844. Its totient is φ = 76600857600.

The previous prime is 248952820873. The next prime is 248952820967. The reversal of 248952820896 is 698028259842.

248952820896 is a `hidden beast` number, since 2 + 4 + 8 + 9 + 528 + 20 + 89 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 246846010896 + 2106810000 = 496836^2 + 45900^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3660405 + ... + 3727796.

Almost surely, 2^248952820896 is an apocalyptic number.

248952820896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

248952820896 is an abundant number, since it is smaller than the sum of its proper divisors (539530872948).

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

248952820896 is a wasteful number, since it uses less digits than its factorization.

248952820896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7388236 (or 7388219 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 248952820896 in words is "two hundred forty-eight billion, nine hundred fifty-two million, eight hundred twenty thousand, eight hundred ninety-six".