248475669120 has 256 divisors, whose sum is σ = 1005735340800. Its totient is φ = 56794411008.

The previous prime is 248475669077. The next prime is 248475669131. The reversal of 248475669120 is 21966574842.

248475669120 is a `hidden beast` number, since 2 + 4 + 8 + 475 + 66 + 91 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906139 + ... + 1148058.

It is an arithmetic number, because the mean of its divisors is an integer number (3928653675).

Almost surely, 2^248475669120 is an apocalyptic number.

248475669120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248475669120 is an abundant number, since it is smaller than the sum of its proper divisors (757259671680).

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

248475669120 is a wasteful number, since it uses less digits than its factorization.

248475669120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054232 (or 2054214 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 248475669120 in words is "two hundred forty-eight billion, four hundred seventy-five million, six hundred sixty-nine thousand, one hundred twenty".