248416616448 has 1800 divisors, whose sum is σ = 1063075771296. Its totient is φ = 56056872960.

The previous prime is 248416616423. The next prime is 248416616449. The reversal of 248416616448 is 844616614842.

248416616448 is a `hidden beast` number, since 2 + 4 + 8 + 4 + 16 + 616 + 4 + 4 + 8 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 248416616394 and 248416616403.

It is not an unprimeable number, because it can be changed into a prime (248416616449) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 14612742136 + ... + 14612742152.

Almost surely, 2^248416616448 is an apocalyptic number.

248416616448 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 248416616448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531537885648).

248416616448 is an abundant number, since it is smaller than the sum of its proper divisors (814659154848).

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

248416616448 is a wasteful number, since it uses less digits than its factorization.

248416616448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 53 counting only the distinct ones).

The product of its digits is 7077888, while the sum is 54.

The spelling of 248416616448 in words is "two hundred forty-eight billion, four hundred sixteen million, six hundred sixteen thousand, four hundred forty-eight".