1470823256448 has 1440 divisors, whose sum is σ = 5674832840160. Its totient is φ = 376610217984.

The previous prime is 1470823256447. The next prime is 1470823256459. The reversal of 1470823256448 is 8446523280741.

1470823256448 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 8 + 2 + 32 + 564 + 48 = 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 = 1470823256394 and 1470823256403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1470823256447) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 3176723865 + ... + 3176724327.

It is an arithmetic number, because the mean of its divisors is an integer number (3940856139).

Almost surely, 2^{1470823256448} is an apocalyptic number.

1470823256448 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 1470823256448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837416420080).

1470823256448 is an abundant number, since it is smaller than the sum of its proper divisors (4204009583712).

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

1470823256448 is a wasteful number, since it uses less digits than its factorization.

1470823256448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

It can be divided in two parts, 1470823 and 256448, that added together give a palindrome (1727271).

The spelling of 1470823256448 in words is "one trillion, four hundred seventy billion, eight hundred twenty-three million, two hundred fifty-six thousand, four hundred forty-eight".