1096379077248 has 384 divisors, whose sum is σ = 4008279475200. Its totient is φ = 279826513920.

The previous prime is 1096379077247. The next prime is 1096379077253. The reversal of 1096379077248 is 8427709736901.

1096379077248 is a `hidden beast` number, since 10 + 9 + 6 + 379 + 0 + 7 + 7 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×1096379077248³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1096379077243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3081108 + ... + 3418476.

It is an arithmetic number, because the mean of its divisors is an integer number (10438227800).

Almost surely, 2^{1096379077248} is an apocalyptic number.

1096379077248 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 1096379077248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2004139737600).

1096379077248 is an abundant number, since it is smaller than the sum of its proper divisors (2911900397952).

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

1096379077248 is a wasteful number, since it uses less digits than its factorization.

1096379077248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 337440 (or 337425 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 1096379077248 in words is "one trillion, ninety-six billion, three hundred seventy-nine million, seventy-seven thousand, two hundred forty-eight".