1104033357504 has 2016 divisors, whose sum is σ = 4563002304000. Its totient is φ = 255212052480.

The previous prime is 1104033357473. The next prime is 1104033357601. The reversal of 1104033357504 is 4057533304011.

1104033357504 is a `hidden beast` number, since 1 + 10 + 40 + 3 + 33 + 575 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-2 number, since 2×1104033357504² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 287 ways as a sum of consecutive naturals, for example, 29838739374 + ... + 29838739410.

It is an arithmetic number, because the mean of its divisors is an integer number (2263394000).

Almost surely, 2^{1104033357504} is an apocalyptic number.

1104033357504 is a gapful number since it is divisible by the number (14) 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 1104033357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2281501152000).

1104033357504 is an abundant number, since it is smaller than the sum of its proper divisors (3458968946496).

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

1104033357504 is a wasteful number, since it uses less digits than its factorization.

1104033357504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 1104033357504 in words is "one trillion, one hundred four billion, thirty-three million, three hundred fifty-seven thousand, five hundred four".