1008972034576 has 135 divisors (see below), whose sum is σ = 2211985166727. Its totient is φ = 445505195520.

The previous prime is 1008972034549. The next prime is 1008972034579. The reversal of 1008972034576 is 6754302798001.

The square root of 1008972034576 is 1004476.

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

It can be written as a sum of positive squares in 4 ways, for example, as 25384136976 + 983587897600 = 159324^2 + 991760^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1008972034579) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1635286620 + ... + 1635287236.

It is a 1-persistent number, because it is pandigital, but 2⋅1008972034576 = 2017944069152 is not.

Almost surely, 2^{1008972034576} is an apocalyptic number.

1008972034576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1008972034576 is the 1004476-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008972034576

1008972034576 is an abundant number, since it is smaller than the sum of its proper divisors (1203013132151).

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

1008972034576 is an frugal number, since it uses more digits than its factorization.

1008972034576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 1008972034576 in words is "one trillion, eight billion, nine hundred seventy-two million, thirty-four thousand, five hundred seventy-six".