1141461366264 has 96 divisors (see below), whose sum is σ = 3120828693840. Its totient is φ = 376883020800.

The previous prime is 1141461366263. The next prime is 1141461366271. The reversal of 1141461366264 is 4626631641411.

1141461366264 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 4 + 6 + 13 + 6 + 626 + 4 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1141461366263) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4990864 + ... + 5214560.

Almost surely, 2^{1141461366264} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1141461366264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1560414346920).

1141461366264 is an abundant number, since it is smaller than the sum of its proper divisors (1979367327576).

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

1141461366264 is a wasteful number, since it uses less digits than its factorization.

1141461366264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224381 (or 224374 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The spelling of 1141461366264 in words is "one trillion, one hundred forty-one billion, four hundred sixty-one million, three hundred sixty-six thousand, two hundred sixty-four".