39345248448 has 560 divisors, whose sum is σ = 134364130560. Its totient is φ = 11267942400.

The previous prime is 39345248419. The next prime is 39345248489. The reversal of 39345248448 is 84484254393.

It is a happy number.

39345248448 is a `hidden beast` number, since 3 + 9 + 34 + 524 + 84 + 4 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 39345248394 and 39345248403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 171813198 + ... + 171813426.

Almost surely, 2^39345248448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39345248448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67182065280).

39345248448 is an abundant number, since it is smaller than the sum of its proper divisors (95018882112).

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

39345248448 is a wasteful number, since it uses less digits than its factorization.

39345248448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 39345248448 in words is "thirty-nine billion, three hundred forty-five million, two hundred forty-eight thousand, four hundred forty-eight".