1136084556096 has 672 divisors, whose sum is σ = 3913361337600. Its totient is φ = 314806431744.

The previous prime is 1136084556067. The next prime is 1136084556107. The reversal of 1136084556096 is 6906554806311.

1136084556096 is a `hidden beast` number, since 1 + 1 + 3 + 6 + 0 + 84 + 556 + 0 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1136084556096² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 1469707966 + ... + 1469708738.

Almost surely, 2^{1136084556096} is an apocalyptic number.

1136084556096 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 1136084556096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956680668800).

1136084556096 is an abundant number, since it is smaller than the sum of its proper divisors (2777276781504).

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

1136084556096 is a wasteful number, since it uses less digits than its factorization.

1136084556096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1028 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 1136084556096 in words is "one trillion, one hundred thirty-six billion, eighty-four million, five hundred fifty-six thousand, ninety-six".