248428645920 has 960 divisors, whose sum is σ = 1142639156736. Its totient is φ = 49328455680.

The previous prime is 248428645909. The next prime is 248428645921. The reversal of 248428645920 is 29546824842.

248428645920 is a `hidden beast` number, since 2 + 4 + 8 + 42 + 8 + 6 + 4 + 592 + 0 = 666.

It is a super-2 number, since 2×248428645920² (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 not an unprimeable number, because it can be changed into a prime (248428645921) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 20042925 + ... + 20055315.

Almost surely, 2^248428645920 is an apocalyptic number.

248428645920 is a gapful number since it is divisible by the number (20) 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 248428645920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571319578368).

248428645920 is an abundant number, since it is smaller than the sum of its proper divisors (894210510816).

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

248428645920 is a wasteful number, since it uses less digits than its factorization.

248428645920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12455 (or 12438 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 248428645920 in words is "two hundred forty-eight billion, four hundred twenty-eight million, six hundred forty-five thousand, nine hundred twenty".