248581920384 has 192 divisors, whose sum is σ = 853444036800. Its totient is φ = 71023357440.

The previous prime is 248581920383. The next prime is 248581920403. The reversal of 248581920384 is 483029185842.

248581920384 is a `hidden beast` number, since 2 + 4 + 8 + 581 + 9 + 20 + 38 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×248581920384² (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 248581920384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248581920383) 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, 564612 + ... + 903299.

It is an arithmetic number, because the mean of its divisors is an integer number (4445021025).

Almost surely, 2^248581920384 is an apocalyptic number.

248581920384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

248581920384 is an abundant number, since it is smaller than the sum of its proper divisors (604862116416).

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

248581920384 is a wasteful number, since it uses less digits than its factorization.

248581920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467948 (or 1467923 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 248581920384 in words is "two hundred forty-eight billion, five hundred eighty-one million, nine hundred twenty thousand, three hundred eighty-four".