39398114448 has 960 divisors, whose sum is σ = 156638188800. Its totient is φ = 9336176640.

The previous prime is 39398114443. The next prime is 39398114471. The reversal of 39398114448 is 84441189393.

It is a super-2 number, since 2×39398114448² (a number of 22 digits) contains 22 as substring.

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 = 39398114394 and 39398114403.

It is not an unprimeable number, because it can be changed into a prime (39398114443) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 146461258 + ... + 146461526.

It is an arithmetic number, because the mean of its divisors is an integer number (163164780).

Almost surely, 2^39398114448 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 39398114448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78319094400).

39398114448 is an abundant number, since it is smaller than the sum of its proper divisors (117240074352).

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

39398114448 is a wasteful number, since it uses less digits than its factorization.

39398114448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 54.

The spelling of 39398114448 in words is "thirty-nine billion, three hundred ninety-eight million, one hundred fourteen thousand, four hundred forty-eight".