1101352883904 has 1120 divisors, whose sum is σ = 4187487338496. Its totient is φ = 278413148160.

The previous prime is 1101352883881. The next prime is 1101352883909. The reversal of 1101352883904 is 4093882531011.

1101352883904 is a `hidden beast` number, since 110 + 1 + 3 + 528 + 8 + 3 + 9 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1101352883904.

It is not an unprimeable number, because it can be changed into a prime (1101352883909) 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 159 ways as a sum of consecutive naturals, for example, 1857255832 + ... + 1857256424.

Almost surely, 2^{1101352883904} is an apocalyptic number.

1101352883904 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 1101352883904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2093743669248).

1101352883904 is an abundant number, since it is smaller than the sum of its proper divisors (3086134454592).

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

1101352883904 is a wasteful number, since it uses less digits than its factorization.

1101352883904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 1101352883904 in words is "one trillion, one hundred one billion, three hundred fifty-two million, eight hundred eighty-three thousand, nine hundred four".