1096188248064 has 720 divisors, whose sum is σ = 3701729407488. Its totient is φ = 285974986752.

The previous prime is 1096188248041. The next prime is 1096188248087. The reversal of 1096188248064 is 4608428816901.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1096188248041) and next prime (1096188248087).

It is a junction number, because it is equal to n+sod(n) for n = 1096188247995 and 1096188248013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4915642257 + ... + 4915642479.

Almost surely, 2^{1096188248064} is an apocalyptic number.

1096188248064 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 1096188248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1850864703744).

1096188248064 is an abundant number, since it is smaller than the sum of its proper divisors (2605541159424).

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

1096188248064 is a wasteful number, since it uses less digits than its factorization.

1096188248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 57.

The spelling of 1096188248064 in words is "one trillion, ninety-six billion, one hundred eighty-eight million, two hundred forty-eight thousand, sixty-four".