1006554705984 has 189 divisors, whose sum is σ = 3066049459837. Its totient is φ = 315653449728.

The previous prime is 1006554705979. The next prime is 1006554705997. The reversal of 1006554705984 is 4895074556001.

It is a happy number.

The square root of 1006554705984 is 1003272.

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

1006554705984 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 5 + 5 + 47 + 0 + 598 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 783649857600 + 222904848384 = 885240^2 + 472128^2 .

It is a super-2 number, since 2×1006554705984² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1006554705984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 409333747 + ... + 409336205.

Almost surely, 2^{1006554705984} is an apocalyptic number.

1006554705984 is the 1003272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006554705984

1006554705984 is an abundant number, since it is smaller than the sum of its proper divisors (2059494753853).

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

1006554705984 is an frugal number, since it uses more digits than its factorization.

1006554705984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4970 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 1006554705984 in words is "one trillion, six billion, five hundred fifty-four million, seven hundred five thousand, nine hundred eighty-four".