1104365640096 has 72 divisors (see below), whose sum is σ = 3140811728964. Its totient is φ = 368090004480.

The previous prime is 1104365640061. The next prime is 1104365640127. The reversal of 1104365640096 is 6900465634011.

1104365640096 is a `hidden beast` number, since 1 + 104 + 3 + 6 + 56 + 400 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 961254750096 + 143110890000 = 980436^2 + 378300^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×1104365640096³ (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3290500 + ... + 3610556.

Almost surely, 2^{1104365640096} is an apocalyptic number.

1104365640096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1104365640096 is an abundant number, since it is smaller than the sum of its proper divisors (2036446088868).

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

1104365640096 is a wasteful number, since it uses less digits than its factorization.

1104365640096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332054 (or 332043 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 1104365640096 in words is "one trillion, one hundred four billion, three hundred sixty-five million, six hundred forty thousand, ninety-six".