1096400187648 has 864 divisors, whose sum is σ = 3515819973120. Its totient is φ = 327582351360.

The previous prime is 1096400187637. The next prime is 1096400187661. The reversal of 1096400187648 is 8467810046901.

1096400187648 is a `hidden beast` number, since 10 + 9 + 6 + 400 + 187 + 6 + 48 = 666.

It is a super-2 number, since 2×1096400187648² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1096400187594 and 1096400187603.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10644661965 + ... + 10644662067.

It is an arithmetic number, because the mean of its divisors is an integer number (4069236080).

Almost surely, 2^{1096400187648} is an apocalyptic number.

1096400187648 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 1096400187648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757909986560).

1096400187648 is an abundant number, since it is smaller than the sum of its proper divisors (2419419785472).

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

1096400187648 is a wasteful number, since it uses less digits than its factorization.

1096400187648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1096400187648 in words is "one trillion, ninety-six billion, four hundred million, one hundred eighty-seven thousand, six hundred forty-eight".