1382312288448 has 672 divisors, whose sum is σ = 5077298903040. Its totient is φ = 363110584320.

The previous prime is 1382312288437. The next prime is 1382312288561. The reversal of 1382312288448 is 8448822132831.

It is a happy number.

1382312288448 is a `hidden beast` number, since 1 + 3 + 8 + 2 + 312 + 288 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 = 1382312288394 and 1382312288403.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 380695593 + ... + 380699223.

It is an arithmetic number, because the mean of its divisors is an integer number (7555504320).

Almost surely, 2^{1382312288448} is an apocalyptic number.

1382312288448 is a gapful number since it is divisible by the number (18) 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 1382312288448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2538649451520).

1382312288448 is an abundant number, since it is smaller than the sum of its proper divisors (3694986614592).

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

1382312288448 is a wasteful number, since it uses less digits than its factorization.

1382312288448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3947 (or 3925 counting only the distinct ones).

The product of its digits is 4718592, while the sum is 54.

The spelling of 1382312288448 in words is "one trillion, three hundred eighty-two billion, three hundred twelve million, two hundred eighty-eight thousand, four hundred forty-eight".