1000959645504 has 448 divisors, whose sum is σ = 3354011006976. Its totient is φ = 256365305856.

The previous prime is 1000959645473. The next prime is 1000959645509. The reversal of 1000959645504 is 4055469590001.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1000959645509) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 441533779 + ... + 441536045.

It is an arithmetic number, because the mean of its divisors is an integer number (7486631712).

Almost surely, 2^{1000959645504} is an apocalyptic number.

1000959645504 is a gapful number since it is divisible by the number (14) 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 1000959645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1677005503488).

1000959645504 is an abundant number, since it is smaller than the sum of its proper divisors (2353051361472).

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

1000959645504 is a wasteful number, since it uses less digits than its factorization.

1000959645504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3022 (or 3012 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 48.

The spelling of 1000959645504 in words is "one trillion, nine hundred fifty-nine million, six hundred forty-five thousand, five hundred four".