11102493760416 has 384 divisors, whose sum is σ = 35032136832000. Its totient is φ = 3409510745088.

The previous prime is 11102493760399. The next prime is 11102493760427. The reversal of 11102493760416 is 61406739420111.

11102493760416 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 2 + 4 + 9 + 37 + 604 + 1 + 6 = 666.

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, 161614011 + ... + 161682693.

It is an arithmetic number, because the mean of its divisors is an integer number (91229523000).

Almost surely, 2^{11102493760416} is an apocalyptic number.

11102493760416 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 11102493760416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17516068416000).

11102493760416 is an abundant number, since it is smaller than the sum of its proper divisors (23929643071584).

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

11102493760416 is a wasteful number, since it uses less digits than its factorization.

11102493760416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68993 (or 68979 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 11102493760416 in words is "eleven trillion, one hundred two billion, four hundred ninety-three million, seven hundred sixty thousand, four hundred sixteen".