1141605756801 has 6 divisors (see below), whose sum is σ = 1648986093170. Its totient is φ = 761070504528.

The previous prime is 1141605756799. The next prime is 1141605756839. The reversal of 1141605756801 is 1086575061411.

1141605756801 is a `hidden beast` number, since 1 + 1 + 4 + 16 + 0 + 575 + 68 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 853665123600 + 287940633201 = 923940^2 + 536601^2 .

It is not a de Polignac number, because 1141605756801 - 2¹ = 1141605756799 is a prime.

It is a super-2 number, since 2×1141605756801² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1141605756871) 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 5 ways as a sum of consecutive naturals, for example, 63422542036 + ... + 63422542053.

Almost surely, 2^{1141605756801} is an apocalyptic number.

It is an amenable number.

1141605756801 is a deficient number, since it is larger than the sum of its proper divisors (507380336369).

1141605756801 is a wasteful number, since it uses less digits than its factorization.

1141605756801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126845084095 (or 126845084092 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 1141605756801 in words is "one trillion, one hundred forty-one billion, six hundred five million, seven hundred fifty-six thousand, eight hundred one".