1478490241536 has 720 divisors, whose sum is σ = 5675789351232. Its totient is φ = 361417605120.

The previous prime is 1478490241531. The next prime is 1478490241537. The reversal of 1478490241536 is 6351420948741.

1478490241536 is a `hidden beast` number, since 1 + 4 + 7 + 84 + 9 + 0 + 24 + 1 + 536 = 666.

It is not an unprimeable number, because it can be changed into a prime (1478490241531) 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 71 ways as a sum of consecutive naturals, for example, 66339451 + ... + 66361733.

It is a 1-persistent number, because it is pandigital, but 2⋅1478490241536 = 2956980483072 is not.

Almost surely, 2^{1478490241536} is an apocalyptic number.

1478490241536 is a gapful number since it is divisible by the number (16) 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 1478490241536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837894675616).

1478490241536 is an abundant number, since it is smaller than the sum of its proper divisors (4197299109696).

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

1478490241536 is a wasteful number, since it uses less digits than its factorization.

1478490241536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22353 (or 22323 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 1478490241536 in words is "one trillion, four hundred seventy-eight billion, four hundred ninety million, two hundred forty-one thousand, five hundred thirty-six".