1459984056804 has 243 divisors, whose sum is σ = 4650787074843. Its totient is φ = 384876745344.

The previous prime is 1459984056787. The next prime is 1459984056863. The reversal of 1459984056804 is 4086504899541.

The square root of 1459984056804 is 1208298.

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

1459984056804 is a `hidden beast` number, since 1 + 459 + 98 + 40 + 56 + 8 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 135643416804 + 1324340640000 = 368298^2 + 1150800^2 .

It is a super-2 number, since 2×1459984056804² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 659729602 + ... + 659731814.

Almost surely, 2^{1459984056804} is an apocalyptic number.

1459984056804 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1459984056804 is the 1208298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1459984056804

1459984056804 is an abundant number, since it is smaller than the sum of its proper divisors (3190803018039).

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

1459984056804 is a wasteful number, since it uses less digits than its factorization.

1459984056804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4476 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 63.

The spelling of 1459984056804 in words is "one trillion, four hundred fifty-nine billion, nine hundred eighty-four million, fifty-six thousand, eight hundred four".