1103693200896 has 640 divisors, whose sum is σ = 3521006641152. Its totient is φ = 302837760000.

The previous prime is 1103693200877. The next prime is 1103693200919. The reversal of 1103693200896 is 6980023963011.

It is a super-3 number, since 3×1103693200896³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3548852581 + ... + 3548852891.

Almost surely, 2^{1103693200896} is an apocalyptic number.

1103693200896 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 1103693200896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1760503320576).

1103693200896 is an abundant number, since it is smaller than the sum of its proper divisors (2417313440256).

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

1103693200896 is a wasteful number, since it uses less digits than its factorization.

1103693200896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 48.

The spelling of 1103693200896 in words is "one trillion, one hundred three billion, six hundred ninety-three million, two hundred thousand, eight hundred ninety-six".