1009891456464 has 240 divisors, whose sum is σ = 3060248131584. Its totient is φ = 285754613760.

The previous prime is 1009891456451. The next prime is 1009891456523. The reversal of 1009891456464 is 4646541989001.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 12499204 + ... + 12579740.

Almost surely, 2^{1009891456464} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1009891456464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1530124065792).

1009891456464 is an abundant number, since it is smaller than the sum of its proper divisors (2050356675120).

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

1009891456464 is a wasteful number, since it uses less digits than its factorization.

1009891456464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80714 (or 80697 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 57.

The spelling of 1009891456464 in words is "one trillion, nine billion, eight hundred ninety-one million, four hundred fifty-six thousand, four hundred sixty-four".