1103858316288 has 1584 divisors, whose sum is σ = 4313638842240. Its totient is φ = 274232770560.

The previous prime is 1103858316217. The next prime is 1103858316293. The reversal of 1103858316288 is 8826138583011.

1103858316288 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 8 + 5 + 8 + 3 + 1 + 628 + 8 = 666.

It is a super-3 number, since 3×1103858316288³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26923373548 + ... + 26923373588.

Almost surely, 2^{1103858316288} is an apocalyptic number.

1103858316288 is a gapful number since it is divisible by the number (18) 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 1103858316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2156819421120).

1103858316288 is an abundant number, since it is smaller than the sum of its proper divisors (3209780525952).

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

1103858316288 is an equidigital number, since it uses as much as digits as its factorization.

1103858316288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 1103858316288 in words is "one trillion, one hundred three billion, eight hundred fifty-eight million, three hundred sixteen thousand, two hundred eighty-eight".