248574554928 has 480 divisors, whose sum is σ = 853496483840. Its totient is φ = 65958520320.

The previous prime is 248574554927. The next prime is 248574554939. The reversal of 248574554928 is 829455475842.

248574554928 is a `hidden beast` number, since 2 + 4 + 8 + 5 + 74 + 554 + 9 + 2 + 8 = 666.

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 (248574554923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 393937173 + ... + 393937803.

Almost surely, 2^248574554928 is an apocalyptic number.

248574554928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 248574554928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426748241920).

248574554928 is an abundant number, since it is smaller than the sum of its proper divisors (604921928912).

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

248574554928 is a wasteful number, since it uses less digits than its factorization.

248574554928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1036 counting only the distinct ones).

The product of its digits is 129024000, while the sum is 63.

The spelling of 248574554928 in words is "two hundred forty-eight billion, five hundred seventy-four million, five hundred fifty-four thousand, nine hundred twenty-eight".