1480397824656 has 135 divisors (see below), whose sum is σ = 4248290498907. Its totient is φ = 481235512320.

The previous prime is 1480397824613. The next prime is 1480397824657. The reversal of 1480397824656 is 6564287930841.

The square root of 1480397824656 is 1216716.

It is a perfect power (a square), and thus also a powerful number.

1480397824656 is a `hidden beast` number, since 1 + 4 + 8 + 0 + 3 + 97 + 82 + 465 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135762771600 + 1344635053056 = 368460^2 + 1159584^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1480397824593 and 1480397824602.

It is not an unprimeable number, because it can be changed into a prime (1480397824657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 598623036 + ... + 598625508.

It is a 1-persistent number, because it is pandigital, but 2⋅1480397824656 = 2960795649312 is not.

Almost surely, 2^{1480397824656} is an apocalyptic number.

1480397824656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1480397824656 is the 1216716-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1480397824656

1480397824656 is an abundant number, since it is smaller than the sum of its proper divisors (2767892674251).

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

1480397824656 is an frugal number, since it uses more digits than its factorization.

1480397824656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5042 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 63.

The spelling of 1480397824656 in words is "one trillion, four hundred eighty billion, three hundred ninety-seven million, eight hundred twenty-four thousand, six hundred fifty-six".