1008747044496 has 225 divisors, whose sum is σ = 3054583334649. Its totient is φ = 321364340352.

The previous prime is 1008747044449. The next prime is 1008747044521. The reversal of 1008747044496 is 6944407478001.

The square root of 1008747044496 is 1004364.

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

1008747044496 is a `hidden beast` number, since 1 + 0 + 0 + 87 + 4 + 70 + 4 + 4 + 496 = 666.

It can be written as a sum of positive squares in only one way, i.e., 41152179600 + 967594864896 = 202860^2 + 983664^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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 44 ways as a sum of consecutive naturals, for example, 831612786 + ... + 831613998.

Almost surely, 2^{1008747044496} is an apocalyptic number.

1008747044496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1008747044496 is the 1004364-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008747044496

1008747044496 is an abundant number, since it is smaller than the sum of its proper divisors (2045836290153).

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

1008747044496 is an frugal number, since it uses more digits than its factorization.

1008747044496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 1008747044496 in words is "one trillion, eight billion, seven hundred forty-seven million, forty-four thousand, four hundred ninety-six".