1141636121964 has 96 divisors (see below), whose sum is σ = 3247615304640. Its totient is φ = 344644844544.

The previous prime is 1141636121963. The next prime is 1141636121971. The reversal of 1141636121964 is 4691216361411.

It is a happy number.

1141636121964 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 636 + 1 + 2 + 1 + 9 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1141636121963) 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 31 ways as a sum of consecutive naturals, for example, 7596637 + ... + 7745460.

It is an arithmetic number, because the mean of its divisors is an integer number (33829326090).

Almost surely, 2^{1141636121964} is an apocalyptic number.

It is an amenable number.

1141636121964 is an abundant number, since it is smaller than the sum of its proper divisors (2105979182676).

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

1141636121964 is a wasteful number, since it uses less digits than its factorization.

1141636121964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15342176 (or 15342168 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 1141636121964 in words is "one trillion, one hundred forty-one billion, six hundred thirty-six million, one hundred twenty-one thousand, nine hundred sixty-four".