1008946260000 has 1440 divisors, whose sum is σ = 4531289273280. Its totient is φ = 216953856000.

The previous prime is 1008946259999. The next prime is 1008946260013. The reversal of 1008946260000 is 626498001.

1008946260000 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 9 + 46 + 2 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 449818879 + ... + 449821121.

It is an arithmetic number, because the mean of its divisors is an integer number (3146728662).

Almost surely, 2^{1008946260000} is an apocalyptic number.

1008946260000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1008946260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2265644636640).

1008946260000 is an abundant number, since it is smaller than the sum of its proper divisors (3522343013280).

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

1008946260000 is a wasteful number, since it uses less digits than its factorization.

1008946260000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2313 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 1008946260000 in words is "one trillion, eight billion, nine hundred forty-six million, two hundred sixty thousand".