1141659689820 has 288 divisors, whose sum is σ = 3524560288704. Its totient is φ = 275917824000.

The previous prime is 1141659689813. The next prime is 1141659689857. The reversal of 1141659689820 is 289869561411.

It is a super-2 number, since 2×1141659689820² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

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 95 ways as a sum of consecutive naturals, for example, 433595224 + ... + 433597856.

It is an arithmetic number, because the mean of its divisors is an integer number (12238056558).

Almost surely, 2^{1141659689820} is an apocalyptic number.

1141659689820 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 1141659689820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1762280144352).

1141659689820 is an abundant number, since it is smaller than the sum of its proper divisors (2382900598884).

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

1141659689820 is a wasteful number, since it uses less digits than its factorization.

1141659689820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3433 (or 3418 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 60.

The spelling of 1141659689820 in words is "one trillion, one hundred forty-one billion, six hundred fifty-nine million, six hundred eighty-nine thousand, eight hundred twenty".