1141537568864 has 144 divisors (see below), whose sum is σ = 2914255346688. Its totient is φ = 430407648000.

The previous prime is 1141537568849. The next prime is 1141537568893. The reversal of 1141537568864 is 4688657351411.

It is a super-2 number, since 2×1141537568864² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 160919 + ... + 1519529.

It is an arithmetic number, because the mean of its divisors is an integer number (20237884352).

Almost surely, 2^{1141537568864} is an apocalyptic number.

1141537568864 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 1141537568864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1457127673344).

1141537568864 is an abundant number, since it is smaller than the sum of its proper divisors (1772717777824).

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

1141537568864 is a wasteful number, since it uses less digits than its factorization.

1141537568864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1358681 (or 1358662 counting only the distinct ones).

The product of its digits is 19353600, while the sum is 59.

The spelling of 1141537568864 in words is "one trillion, one hundred forty-one billion, five hundred thirty-seven million, five hundred sixty-eight thousand, eight hundred sixty-four".