1478675456064 has 105 divisors (see below), whose sum is σ = 4383516827437. Its totient is φ = 492862634496.

The previous prime is 1478675456053. The next prime is 1478675456117. The reversal of 1478675456064 is 4606545768741.

The square root of 1478675456064 is 1216008.

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

1478675456064 is a `hidden beast` number, since 1 + 4 + 7 + 8 + 6 + 7 + 5 + 4 + 560 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 50172416064 + 1428503040000 = 223992^2 + 1195200^2 .

It is a super-2 number, since 2×1478675456064² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1478675455992 and 1478675456010.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 87544132 + ... + 87561020.

Almost surely, 2^{1478675456064} is an apocalyptic number.

1478675456064 is the 1216008-th square number.

It is an amenable number.

1478675456064 is an abundant number, since it is smaller than the sum of its proper divisors (2904841371373).

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

1478675456064 is an frugal number, since it uses more digits than its factorization.

1478675456064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33802 (or 16894 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 1478675456064 in words is "one trillion, four hundred seventy-eight billion, six hundred seventy-five million, four hundred fifty-six thousand, sixty-four".