1006185535744 has 81 divisors (see below), whose sum is σ = 2039436641739. Its totient is φ = 495445224960.

The previous prime is 1006185535741. The next prime is 1006185535787. The reversal of 1006185535744 is 4475355816001.

The square root of 1006185535744 is 1003088.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006185535741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1139507527 + ... + 1139508409.

Almost surely, 2^{1006185535744} is an apocalyptic number.

1006185535744 is the 1003088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1006185535744

1006185535744 is an abundant number, since it is smaller than the sum of its proper divisors (1033251105995).

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

1006185535744 is an frugal number, since it uses more digits than its factorization.

1006185535744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 956 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 49.

Multiplying 1006185535744 by its sum of digits (49), we get a square (49303091251456 = 7021616²).

The spelling of 1006185535744 in words is "one trillion, six billion, one hundred eighty-five million, five hundred thirty-five thousand, seven hundred forty-four".