1141796601792 has 1008 divisors, whose sum is σ = 4323473330176. Its totient is φ = 281652940800.

The previous prime is 1141796601773. The next prime is 1141796601823. The reversal of 1141796601792 is 2971066971411.

It is a happy number.

1141796601792 is a `hidden beast` number, since 1 + 14 + 17 + 9 + 6 + 601 + 7 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×1141796601792² (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 (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 776203617 + ... + 776205087.

Almost surely, 2^{1141796601792} is an apocalyptic number.

1141796601792 is a gapful number since it is divisible by the number (12) 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 1141796601792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2161736665088).

1141796601792 is an abundant number, since it is smaller than the sum of its proper divisors (3181676728384).

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

1141796601792 is a wasteful number, since it uses less digits than its factorization.

1141796601792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1598 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 1141796601792 in words is "one trillion, one hundred forty-one billion, seven hundred ninety-six million, six hundred one thousand, seven hundred ninety-two".