396103952448 has 168 divisors, whose sum is σ = 1187301143808. Its totient is φ = 126019289088.

The previous prime is 396103952441. The next prime is 396103952459. The reversal of 396103952448 is 844259301693.

396103952448 is a `hidden beast` number, since 3 + 9 + 6 + 1 + 0 + 395 + 244 + 8 = 666.

It is a super-2 number, since 2×396103952448² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 396103952394 and 396103952403.

It is not an unprimeable number, because it can be changed into a prime (396103952441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6101536 + ... + 6166112.

Almost surely, 2^396103952448 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 396103952448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593650571904).

396103952448 is an abundant number, since it is smaller than the sum of its proper divisors (791197191360).

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

396103952448 is a wasteful number, since it uses less digits than its factorization.

396103952448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65081 (or 65068 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 396103952448 in words is "three hundred ninety-six billion, one hundred three million, nine hundred fifty-two thousand, four hundred forty-eight".