1000545509376 has 672 divisors, whose sum is σ = 3486449191680. Its totient is φ = 280793972736.

The previous prime is 1000545509371. The next prime is 1000545509401. The reversal of 1000545509376 is 6739055450001.

1000545509376 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 5 + 4 + 550 + 93 + 7 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000545509371) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 822140320 + ... + 822141536.

It is an arithmetic number, because the mean of its divisors is an integer number (5188168440).

Almost surely, 2^{1000545509376} is an apocalyptic number.

1000545509376 is a gapful number since it is divisible by the number (16) 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 1000545509376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1743224595840).

1000545509376 is an abundant number, since it is smaller than the sum of its proper divisors (2485903682304).

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

1000545509376 is an frugal number, since it uses more digits than its factorization.

1000545509376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 1000545509376 in words is "one trillion, five hundred forty-five million, five hundred nine thousand, three hundred seventy-six".