1093683419136 has 1152 divisors, whose sum is σ = 4124835187200. Its totient is φ = 270941552640.

The previous prime is 1093683419113. The next prime is 1093683419197. The reversal of 1093683419136 is 6319143863901.

1093683419136 is a `hidden beast` number, since 1 + 0 + 93 + 6 + 8 + 3 + 419 + 136 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1093683419136² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3098253136 + ... + 3098253488.

It is an arithmetic number, because the mean of its divisors is an integer number (3580586100).

Almost surely, 2^{1093683419136} is an apocalyptic number.

1093683419136 is a gapful number since it is divisible by the number (16) 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 1093683419136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2062417593600).

1093683419136 is an abundant number, since it is smaller than the sum of its proper divisors (3031151768064).

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

1093683419136 is a wasteful number, since it uses less digits than its factorization.

1093683419136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 495 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 2519424, while the sum is 54.

The spelling of 1093683419136 in words is "one trillion, ninety-three billion, six hundred eighty-three million, four hundred nineteen thousand, one hundred thirty-six".